TSTP Solution File: GRP181-4 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP181-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n010.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 : 600s
% DateTime : Sat Jul 16 10:29:26 EDT 2022
% Result : Unsatisfiable 10.82s 3.06s
% Output : CNFRefutation 10.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP181-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n010.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 : 600
% 0.13/0.34 % DateTime : Mon Jun 13 08:22:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 2808: Facts:
% 0.13/0.35 2808: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35 2808: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.35 2808: Id : 4, {_}:
% 0.13/0.35 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.35 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.35 2808: Id : 5, {_}:
% 0.13/0.35 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.35 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.35 2808: Id : 6, {_}:
% 0.13/0.35 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.35 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.35 2808: Id : 7, {_}:
% 0.13/0.35 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.35 =?=
% 0.13/0.35 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.35 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.35 2808: Id : 8, {_}:
% 0.13/0.35 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.35 =?=
% 0.13/0.35 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.35 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.35 2808: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.35 2808: Id : 10, {_}:
% 0.13/0.35 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.35 [26] by idempotence_of_gld ?26
% 0.13/0.35 2808: Id : 11, {_}:
% 0.13/0.35 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.35 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.35 2808: Id : 12, {_}:
% 0.13/0.35 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.35 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.35 2808: Id : 13, {_}:
% 0.13/0.35 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.35 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.35 2808: Id : 14, {_}:
% 0.13/0.35 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.35 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.35 2808: Id : 15, {_}:
% 0.13/0.35 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.35 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.35 2808: Id : 16, {_}:
% 0.13/0.35 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.35 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.35 2808: Id : 17, {_}: inverse identity =>= identity [] by p12x_1
% 0.13/0.35 2808: Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p12x_2 ?51
% 0.13/0.35 2808: Id : 19, {_}:
% 0.13/0.35 inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
% 0.13/0.35 [54, 53] by p12x_3 ?53 ?54
% 0.13/0.35 2808: Id : 20, {_}:
% 0.13/0.35 greatest_lower_bound a c =<= greatest_lower_bound b c
% 0.13/0.35 [] by p12x_4
% 0.13/0.35 2808: Id : 21, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12x_5
% 0.13/0.35 2808: Id : 22, {_}:
% 0.13/0.35 inverse (greatest_lower_bound ?58 ?59)
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (inverse ?58) (inverse ?59)
% 0.13/0.35 [59, 58] by p12x_6 ?58 ?59
% 0.13/0.35 2808: Id : 23, {_}:
% 0.13/0.35 inverse (least_upper_bound ?61 ?62)
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (inverse ?61) (inverse ?62)
% 0.13/0.35 [62, 61] by p12x_7 ?61 ?62
% 0.13/0.35 2808: Goal:
% 0.13/0.35 2808: Id : 1, {_}: a =<= b [] by prove_p12x
% 10.82/3.06 Statistics :
% 10.82/3.06 Max weight : 17
% 10.82/3.06 Found proof, 2.706597s
% 10.82/3.06 % SZS status Unsatisfiable for theBenchmark.p
% 10.82/3.06 % SZS output start CNFRefutation for theBenchmark.p
% 10.82/3.06 Id : 21, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12x_5
% 10.82/3.06 Id : 20, {_}: greatest_lower_bound a c =<= greatest_lower_bound b c [] by p12x_4
% 10.82/3.06 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 10.82/3.06 Id : 188, {_}: multiply ?586 (greatest_lower_bound ?587 ?588) =<= greatest_lower_bound (multiply ?586 ?587) (multiply ?586 ?588) [588, 587, 586] by monotony_glb1 ?586 ?587 ?588
% 10.82/3.06 Id : 336, {_}: inverse (greatest_lower_bound ?890 ?891) =<= least_upper_bound (inverse ?890) (inverse ?891) [891, 890] by p12x_6 ?890 ?891
% 10.82/3.06 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 10.82/3.06 Id : 158, {_}: multiply ?515 (least_upper_bound ?516 ?517) =<= least_upper_bound (multiply ?515 ?516) (multiply ?515 ?517) [517, 516, 515] by monotony_lub1 ?515 ?516 ?517
% 10.82/3.06 Id : 19, {_}: inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53) [54, 53] by p12x_3 ?53 ?54
% 10.82/3.06 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 10.82/3.06 Id : 17, {_}: inverse identity =>= identity [] by p12x_1
% 10.82/3.06 Id : 302, {_}: inverse (multiply ?845 ?846) =<= multiply (inverse ?846) (inverse ?845) [846, 845] by p12x_3 ?845 ?846
% 10.82/3.06 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 10.82/3.06 Id : 28, {_}: multiply (multiply ?71 ?72) ?73 =?= multiply ?71 (multiply ?72 ?73) [73, 72, 71] by associativity ?71 ?72 ?73
% 10.82/3.06 Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p12x_2 ?51
% 10.82/3.06 Id : 30, {_}: multiply (multiply ?78 (inverse ?79)) ?79 =>= multiply ?78 identity [79, 78] by Super 28 with 3 at 2,3
% 10.82/3.06 Id : 303, {_}: inverse (multiply identity ?848) =<= multiply (inverse ?848) identity [848] by Super 302 with 17 at 2,3
% 10.82/3.06 Id : 386, {_}: inverse ?984 =<= multiply (inverse ?984) identity [984] by Demod 303 with 2 at 1,2
% 10.82/3.06 Id : 388, {_}: inverse (inverse ?987) =<= multiply ?987 identity [987] by Super 386 with 18 at 1,3
% 10.82/3.06 Id : 398, {_}: ?987 =<= multiply ?987 identity [987] by Demod 388 with 18 at 2
% 10.82/3.06 Id : 598, {_}: multiply (multiply ?1268 (inverse ?1269)) ?1269 =>= ?1268 [1269, 1268] by Demod 30 with 398 at 3
% 10.82/3.06 Id : 607, {_}: multiply (inverse (multiply ?1293 ?1294)) ?1293 =>= inverse ?1294 [1294, 1293] by Super 598 with 19 at 1,2
% 10.82/3.06 Id : 584, {_}: multiply (multiply ?78 (inverse ?79)) ?79 =>= ?78 [79, 78] by Demod 30 with 398 at 3
% 10.82/3.06 Id : 160, {_}: multiply (inverse ?522) (least_upper_bound ?523 ?522) =>= least_upper_bound (multiply (inverse ?522) ?523) identity [523, 522] by Super 158 with 3 at 2,3
% 10.82/3.06 Id : 10121, {_}: multiply (inverse ?13274) (least_upper_bound ?13275 ?13274) =>= least_upper_bound identity (multiply (inverse ?13274) ?13275) [13275, 13274] by Demod 160 with 6 at 3
% 10.82/3.06 Id : 339, {_}: inverse (greatest_lower_bound identity ?898) =<= least_upper_bound identity (inverse ?898) [898] by Super 336 with 17 at 1,3
% 10.82/3.06 Id : 10162, {_}: multiply (inverse (inverse ?13374)) (inverse (greatest_lower_bound identity ?13374)) =>= least_upper_bound identity (multiply (inverse (inverse ?13374)) identity) [13374] by Super 10121 with 339 at 2,2
% 10.82/3.06 Id : 10233, {_}: inverse (multiply (greatest_lower_bound identity ?13374) (inverse ?13374)) =?= least_upper_bound identity (multiply (inverse (inverse ?13374)) identity) [13374] by Demod 10162 with 19 at 2
% 10.82/3.06 Id : 10234, {_}: inverse (multiply (greatest_lower_bound identity ?13374) (inverse ?13374)) =>= least_upper_bound identity (inverse (inverse ?13374)) [13374] by Demod 10233 with 398 at 2,3
% 10.82/3.06 Id : 306, {_}: inverse (multiply ?855 (inverse ?856)) =>= multiply ?856 (inverse ?855) [856, 855] by Super 302 with 18 at 1,3
% 10.82/3.06 Id : 10235, {_}: multiply ?13374 (inverse (greatest_lower_bound identity ?13374)) =>= least_upper_bound identity (inverse (inverse ?13374)) [13374] by Demod 10234 with 306 at 2
% 10.82/3.06 Id : 10236, {_}: multiply ?13374 (inverse (greatest_lower_bound identity ?13374)) =>= inverse (greatest_lower_bound identity (inverse ?13374)) [13374] by Demod 10235 with 339 at 3
% 10.82/3.06 Id : 338, {_}: inverse (greatest_lower_bound ?895 (inverse ?896)) =>= least_upper_bound (inverse ?895) ?896 [896, 895] by Super 336 with 18 at 2,3
% 10.82/3.06 Id : 10237, {_}: multiply ?13374 (inverse (greatest_lower_bound identity ?13374)) =>= least_upper_bound (inverse identity) ?13374 [13374] by Demod 10236 with 338 at 3
% 10.82/3.06 Id : 10238, {_}: multiply ?13374 (inverse (greatest_lower_bound identity ?13374)) =>= least_upper_bound identity ?13374 [13374] by Demod 10237 with 17 at 1,3
% 10.82/3.06 Id : 32890, {_}: multiply (least_upper_bound identity ?36394) (greatest_lower_bound identity ?36394) =>= ?36394 [36394] by Super 584 with 10238 at 1,2
% 10.82/3.06 Id : 190, {_}: multiply (inverse ?593) (greatest_lower_bound ?594 ?593) =>= greatest_lower_bound (multiply (inverse ?593) ?594) identity [594, 593] by Super 188 with 3 at 2,3
% 10.82/3.06 Id : 11524, {_}: multiply (inverse ?14711) (greatest_lower_bound ?14712 ?14711) =>= greatest_lower_bound identity (multiply (inverse ?14711) ?14712) [14712, 14711] by Demod 190 with 5 at 3
% 10.82/3.06 Id : 11561, {_}: multiply (inverse c) (greatest_lower_bound a c) =>= greatest_lower_bound identity (multiply (inverse c) b) [] by Super 11524 with 20 at 2,2
% 10.82/3.06 Id : 209, {_}: multiply (inverse ?593) (greatest_lower_bound ?594 ?593) =>= greatest_lower_bound identity (multiply (inverse ?593) ?594) [594, 593] by Demod 190 with 5 at 3
% 10.82/3.06 Id : 11629, {_}: greatest_lower_bound identity (multiply (inverse c) a) =<= greatest_lower_bound identity (multiply (inverse c) b) [] by Demod 11561 with 209 at 2
% 10.82/3.06 Id : 32913, {_}: multiply (least_upper_bound identity (multiply (inverse c) b)) (greatest_lower_bound identity (multiply (inverse c) a)) =>= multiply (inverse c) b [] by Super 32890 with 11629 at 2,2
% 10.82/3.06 Id : 10160, {_}: multiply (inverse c) (least_upper_bound a c) =>= least_upper_bound identity (multiply (inverse c) b) [] by Super 10121 with 21 at 2,2
% 10.82/3.06 Id : 177, {_}: multiply (inverse ?522) (least_upper_bound ?523 ?522) =>= least_upper_bound identity (multiply (inverse ?522) ?523) [523, 522] by Demod 160 with 6 at 3
% 10.82/3.06 Id : 10228, {_}: least_upper_bound identity (multiply (inverse c) a) =<= least_upper_bound identity (multiply (inverse c) b) [] by Demod 10160 with 177 at 2
% 10.82/3.06 Id : 32985, {_}: multiply (least_upper_bound identity (multiply (inverse c) a)) (greatest_lower_bound identity (multiply (inverse c) a)) =>= multiply (inverse c) b [] by Demod 32913 with 10228 at 1,2
% 10.82/3.06 Id : 10375, {_}: multiply (least_upper_bound identity ?13498) (greatest_lower_bound identity ?13498) =>= ?13498 [13498] by Super 584 with 10238 at 1,2
% 10.82/3.06 Id : 32986, {_}: multiply (inverse c) a =<= multiply (inverse c) b [] by Demod 32985 with 10375 at 2
% 10.82/3.06 Id : 33031, {_}: multiply (inverse (multiply (inverse c) a)) (inverse c) =>= inverse b [] by Super 607 with 32986 at 1,1,2
% 10.82/3.06 Id : 33069, {_}: inverse a =<= inverse b [] by Demod 33031 with 607 at 2
% 10.82/3.06 Id : 33116, {_}: inverse (inverse a) =>= b [] by Super 18 with 33069 at 1,2
% 10.82/3.06 Id : 33187, {_}: a =<= b [] by Demod 33116 with 18 at 2
% 10.82/3.06 Id : 33321, {_}: a === a [] by Demod 1 with 33187 at 3
% 10.82/3.06 Id : 1, {_}: a =<= b [] by prove_p12x
% 10.82/3.06 % SZS output end CNFRefutation for theBenchmark.p
% 10.82/3.06 2808: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 2.710692 using nrkbo
%------------------------------------------------------------------------------