TSTP Solution File: GRP539-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP539-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n017.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 10:30:42 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP539-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 20:16:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 14389: Facts:
% 0.12/0.34 14389: Id : 2, {_}:
% 0.12/0.34 divide (divide ?2 ?3) (divide (divide ?2 ?4) ?3) =>= ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 14389: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.34 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.34 14389: Id : 4, {_}:
% 0.12/0.34 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.34 [11, 10] by inverse ?10 ?11
% 0.12/0.34 14389: Id : 5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.12/0.34 14389: Goal:
% 0.12/0.34 14389: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 0.19/0.48 Statistics :
% 0.19/0.48 Max weight : 22
% 0.19/0.48 Found proof, 0.138548s
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.48 Id : 15, {_}: multiply ?53 ?54 =<= divide ?53 (divide (divide ?55 ?55) ?54) [55, 54, 53] by multiply ?53 ?54 ?55
% 0.19/0.48 Id : 5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.19/0.48 Id : 2, {_}: divide (divide ?2 ?3) (divide (divide ?2 ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.48 Id : 6, {_}: divide (divide ?15 ?16) (divide (divide ?15 ?17) ?16) =>= ?17 [17, 16, 15] by single_axiom ?15 ?16 ?17
% 0.19/0.48 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.19/0.48 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.19/0.48 Id : 23, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.48 Id : 8, {_}: divide (divide ?24 (divide (divide ?24 ?25) ?26)) ?25 =>= ?26 [26, 25, 24] by Super 6 with 2 at 2,2
% 0.19/0.48 Id : 11, {_}: divide (divide ?35 ?36) (divide (multiply ?35 ?37) ?36) =?= divide (divide ?38 ?38) ?37 [38, 37, 36, 35] by Super 2 with 3 at 1,2,2
% 0.19/0.48 Id : 358, {_}: divide (divide ?35 ?36) (divide (multiply ?35 ?37) ?36) =>= divide identity ?37 [37, 36, 35] by Demod 11 with 5 at 1,3
% 0.19/0.48 Id : 38, {_}: inverse ?10 =<= divide identity ?10 [10] by Demod 4 with 5 at 1,3
% 0.19/0.48 Id : 374, {_}: divide (divide ?863 ?864) (divide (multiply ?863 ?865) ?864) =>= inverse ?865 [865, 864, 863] by Demod 358 with 38 at 3
% 0.19/0.48 Id : 380, {_}: divide (divide ?886 (multiply ?886 ?887)) identity =>= inverse ?887 [887, 886] by Super 374 with 5 at 2,2
% 0.19/0.48 Id : 39, {_}: inverse identity =>= identity [] by Super 38 with 5 at 3
% 0.19/0.48 Id : 51, {_}: multiply ?129 identity =<= divide ?129 identity [129] by Super 23 with 39 at 2,3
% 0.19/0.48 Id : 235, {_}: divide ?530 (divide (divide (divide ?531 ?532) ?533) (divide (divide ?531 ?530) ?532)) =>= ?533 [533, 532, 531, 530] by Super 6 with 2 at 1,2
% 0.19/0.48 Id : 270, {_}: divide ?712 identity =>= ?712 [712] by Super 235 with 5 at 2,2
% 0.19/0.48 Id : 302, {_}: multiply ?712 identity =>= ?712 [712] by Demod 270 with 51 at 2
% 0.19/0.48 Id : 305, {_}: ?129 =<= divide ?129 identity [129] by Demod 51 with 302 at 2
% 0.19/0.48 Id : 409, {_}: divide ?886 (multiply ?886 ?887) =>= inverse ?887 [887, 886] by Demod 380 with 305 at 2
% 0.19/0.48 Id : 504, {_}: divide (divide ?1083 (inverse ?1084)) ?1085 =>= multiply (divide ?1083 ?1085) ?1084 [1085, 1084, 1083] by Super 8 with 409 at 2,1,2
% 0.19/0.48 Id : 942, {_}: divide (multiply ?1885 ?1886) ?1887 =>= multiply (divide ?1885 ?1887) ?1886 [1887, 1886, 1885] by Demod 504 with 23 at 1,2
% 0.19/0.48 Id : 14, {_}: multiply (divide ?50 ?51) ?51 =>= ?50 [51, 50] by Super 2 with 3 at 2
% 0.19/0.48 Id : 132, {_}: divide (divide ?327 (divide (divide ?327 ?328) ?329)) ?328 =>= ?329 [329, 328, 327] by Super 6 with 2 at 2,2
% 0.19/0.48 Id : 136, {_}: divide (divide ?347 (divide identity ?348)) ?347 =>= ?348 [348, 347] by Super 132 with 5 at 1,2,1,2
% 0.19/0.48 Id : 155, {_}: divide (divide ?347 (inverse ?348)) ?347 =>= ?348 [348, 347] by Demod 136 with 38 at 2,1,2
% 0.19/0.48 Id : 480, {_}: divide (multiply ?1029 ?1030) ?1029 =>= ?1030 [1030, 1029] by Demod 155 with 23 at 1,2
% 0.19/0.48 Id : 24, {_}: multiply (divide ?77 ?77) ?78 =>= inverse (inverse ?78) [78, 77] by Super 23 with 4 at 3
% 0.19/0.48 Id : 349, {_}: multiply identity ?78 =>= inverse (inverse ?78) [78] by Demod 24 with 5 at 1,2
% 0.19/0.48 Id : 325, {_}: multiply (divide ?737 ?738) ?738 =>= ?737 [738, 737] by Super 2 with 3 at 2
% 0.19/0.48 Id : 330, {_}: multiply identity ?758 =>= ?758 [758] by Super 325 with 5 at 1,2
% 0.19/0.48 Id : 350, {_}: ?78 =<= inverse (inverse ?78) [78] by Demod 349 with 330 at 2
% 0.19/0.48 Id : 352, {_}: multiply ?783 (inverse ?784) =>= divide ?783 ?784 [784, 783] by Super 23 with 350 at 2,3
% 0.19/0.48 Id : 485, {_}: divide (divide ?1041 ?1042) ?1041 =>= inverse ?1042 [1042, 1041] by Super 480 with 352 at 1,2
% 0.19/0.48 Id : 699, {_}: multiply (inverse ?1529) ?1530 =>= divide ?1530 ?1529 [1530, 1529] by Super 14 with 485 at 1,2
% 0.19/0.48 Id : 947, {_}: divide (divide ?1903 ?1904) ?1905 =<= multiply (divide (inverse ?1904) ?1905) ?1903 [1905, 1904, 1903] by Super 942 with 699 at 1,2
% 0.19/0.48 Id : 701, {_}: divide (divide ?1535 ?1536) ?1535 =>= inverse ?1536 [1536, 1535] by Super 480 with 352 at 1,2
% 0.19/0.48 Id : 708, {_}: divide (inverse ?1563) ?1564 =>= inverse (multiply ?1564 ?1563) [1564, 1563] by Super 701 with 409 at 1,2
% 0.19/0.48 Id : 992, {_}: divide (divide ?1903 ?1904) ?1905 =<= multiply (inverse (multiply ?1905 ?1904)) ?1903 [1905, 1904, 1903] by Demod 947 with 708 at 1,3
% 0.19/0.48 Id : 993, {_}: divide (divide ?1903 ?1904) ?1905 =>= divide ?1903 (multiply ?1905 ?1904) [1905, 1904, 1903] by Demod 992 with 699 at 3
% 0.19/0.48 Id : 1462, {_}: multiply (divide ?2662 ?2663) ?2664 =<= divide ?2662 (multiply (inverse ?2664) ?2663) [2664, 2663, 2662] by Super 23 with 993 at 3
% 0.19/0.48 Id : 1504, {_}: multiply (divide ?2662 ?2663) ?2664 =<= divide ?2662 (divide ?2663 ?2664) [2664, 2663, 2662] by Demod 1462 with 699 at 2,3
% 0.19/0.48 Id : 17, {_}: multiply ?62 (divide (divide ?63 ?64) ?63) =>= divide ?62 ?64 [64, 63, 62] by Super 15 with 2 at 2,3
% 0.19/0.48 Id : 481, {_}: divide ?1032 (divide ?1032 ?1033) =>= ?1033 [1033, 1032] by Super 480 with 14 at 1,2
% 0.19/0.48 Id : 643, {_}: multiply ?1400 (divide ?1401 ?1402) =<= divide ?1400 (divide ?1402 ?1401) [1402, 1401, 1400] by Super 17 with 481 at 1,2,2
% 0.19/0.48 Id : 1574, {_}: multiply (divide ?2857 ?2858) ?2859 =>= multiply ?2857 (divide ?2859 ?2858) [2859, 2858, 2857] by Demod 1504 with 643 at 3
% 0.19/0.48 Id : 1581, {_}: multiply (multiply ?2886 ?2887) ?2888 =<= multiply ?2886 (divide ?2888 (inverse ?2887)) [2888, 2887, 2886] by Super 1574 with 23 at 1,2
% 0.19/0.48 Id : 1631, {_}: multiply (multiply ?2886 ?2887) ?2888 =>= multiply ?2886 (multiply ?2888 ?2887) [2888, 2887, 2886] by Demod 1581 with 23 at 2,3
% 0.19/0.48 Id : 156, {_}: divide (multiply ?347 ?348) ?347 =>= ?348 [348, 347] by Demod 155 with 23 at 1,2
% 0.19/0.48 Id : 468, {_}: multiply ?982 ?983 =?= multiply ?983 ?982 [983, 982] by Super 14 with 156 at 1,2
% 0.19/0.48 Id : 2383, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 2253 with 468 at 2,2
% 0.19/0.48 Id : 2253, {_}: multiply a3 (multiply c3 b3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1631 at 2
% 0.19/0.48 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.48 14390: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.14036 using kbo
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