TSTP Solution File: GRP450-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP450-1 : TPTP v8.1.0. Released v2.6.0.
% 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 10:30:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP450-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 02:22:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 17349: Facts:
% 0.12/0.33 17349: Id : 2, {_}:
% 0.12/0.33 divide ?2
% 0.12/0.33 (divide (divide (divide (divide ?3 ?3) ?3) ?4)
% 0.12/0.33 (divide (divide (divide ?3 ?3) ?2) ?4))
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 17349: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.33 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.33 17349: Id : 4, {_}:
% 0.12/0.33 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.33 [11, 10] by inverse ?10 ?11
% 0.12/0.33 17349: Goal:
% 0.12/0.33 17349: Id : 1, {_}:
% 0.12/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.33 [] by prove_these_axioms_3
% 0.18/0.48 Statistics :
% 0.18/0.48 Max weight : 44
% 0.18/0.48 Found proof, 0.153349s
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.48 Id : 40, {_}: inverse ?105 =<= divide (divide ?106 ?106) ?105 [106, 105] by inverse ?105 ?106
% 0.18/0.48 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.18/0.48 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.18/0.48 Id : 2, {_}: divide ?2 (divide (divide (divide (divide ?3 ?3) ?3) ?4) (divide (divide (divide ?3 ?3) ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.48 Id : 5, {_}: divide ?13 (divide (divide (divide (divide ?14 ?14) ?14) ?15) (divide (divide (divide ?14 ?14) ?13) ?15)) =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.18/0.48 Id : 7, {_}: divide ?22 (divide (divide (divide (divide ?23 ?23) ?23) (divide (divide (divide (divide ?24 ?24) ?24) ?25) (divide (divide (divide ?24 ?24) (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Super 5 with 2 at 2,2,2
% 0.18/0.48 Id : 113, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (divide (divide ?24 ?24) ?24) ?25) (divide (divide (divide ?24 ?24) (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 7 with 4 at 1,1,2,2
% 0.18/0.48 Id : 114, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (inverse ?24) ?25) (divide (divide (divide ?24 ?24) (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 113 with 4 at 1,1,2,1,2,2
% 0.18/0.48 Id : 115, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (inverse ?24) ?25) (divide (inverse (divide (divide ?23 ?23) ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 114 with 4 at 1,2,2,1,2,2
% 0.18/0.48 Id : 116, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (inverse ?24) ?25) (divide (inverse (inverse ?22)) ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 115 with 4 at 1,1,2,2,1,2,2
% 0.18/0.48 Id : 35, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide (divide ?3 ?3) ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,1,2,2
% 0.18/0.48 Id : 36, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 35 with 4 at 1,2,2,2
% 0.18/0.48 Id : 38, {_}: divide ?98 (inverse (divide (inverse ?98) (inverse ?99))) =>= ?99 [99, 98] by Super 36 with 4 at 2,2
% 0.18/0.48 Id : 34, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.18/0.48 Id : 46, {_}: multiply ?98 (divide (inverse ?98) (inverse ?99)) =>= ?99 [99, 98] by Demod 38 with 34 at 2
% 0.18/0.48 Id : 109, {_}: multiply ?287 (multiply (inverse ?287) ?288) =>= ?288 [288, 287] by Demod 46 with 34 at 2,2
% 0.18/0.48 Id : 47, {_}: multiply ?98 (multiply (inverse ?98) ?99) =>= ?99 [99, 98] by Demod 46 with 34 at 2,2
% 0.18/0.48 Id : 110, {_}: multiply ?290 ?291 =<= multiply (inverse (inverse ?290)) ?291 [291, 290] by Super 109 with 47 at 2,2
% 0.18/0.48 Id : 126, {_}: divide ?352 (divide (divide (inverse ?353) (divide (divide (inverse ?354) ?355) (divide (inverse (inverse ?352)) ?355))) ?354) =>= ?353 [355, 354, 353, 352] by Demod 115 with 4 at 1,1,2,2,1,2,2
% 0.18/0.48 Id : 176, {_}: divide ?525 (divide ?526 ?526) =>= ?525 [526, 525] by Super 126 with 36 at 1,2,2
% 0.18/0.48 Id : 178, {_}: divide ?531 (inverse (divide ?532 ?532)) =>= ?531 [532, 531] by Super 176 with 4 at 2,2
% 0.18/0.48 Id : 206, {_}: multiply ?531 (divide ?532 ?532) =>= ?531 [532, 531] by Demod 178 with 34 at 2
% 0.18/0.48 Id : 209, {_}: multiply ?559 (divide ?560 ?560) =>= inverse (inverse ?559) [560, 559] by Super 110 with 206 at 3
% 0.18/0.48 Id : 225, {_}: ?559 =<= inverse (inverse ?559) [559] by Demod 209 with 206 at 2
% 0.18/0.48 Id : 295, {_}: divide ?22 (divide (divide (inverse ?23) (divide (divide (inverse ?24) ?25) (divide ?22 ?25))) ?24) =>= ?23 [25, 24, 23, 22] by Demod 116 with 225 at 1,2,2,1,2,2
% 0.18/0.48 Id : 135, {_}: divide ?402 (divide ?403 ?403) =>= ?402 [403, 402] by Super 126 with 36 at 1,2,2
% 0.18/0.48 Id : 170, {_}: divide ?506 (divide (divide (inverse ?507) (divide ?508 ?508)) (inverse ?506)) =>= ?507 [508, 507, 506] by Super 36 with 135 at 2,2,2
% 0.18/0.48 Id : 189, {_}: divide ?506 (multiply (divide (inverse ?507) (divide ?508 ?508)) ?506) =>= ?507 [508, 507, 506] by Demod 170 with 34 at 2,2
% 0.18/0.48 Id : 522, {_}: divide ?1291 (multiply (inverse ?1292) ?1291) =>= ?1292 [1292, 1291] by Demod 189 with 135 at 1,2,2
% 0.18/0.48 Id : 523, {_}: divide ?1294 (multiply ?1295 ?1294) =>= inverse ?1295 [1295, 1294] by Super 522 with 225 at 1,2,2
% 0.18/0.48 Id : 524, {_}: divide (multiply (inverse (inverse ?1297)) ?1298) ?1298 =>= ?1297 [1298, 1297] by Super 522 with 47 at 2,2
% 0.18/0.48 Id : 546, {_}: divide (multiply ?1297 ?1298) ?1298 =>= ?1297 [1298, 1297] by Demod 524 with 225 at 1,1,2
% 0.18/0.48 Id : 609, {_}: multiply (multiply ?1434 (inverse ?1435)) ?1435 =>= ?1434 [1435, 1434] by Super 34 with 546 at 3
% 0.18/0.48 Id : 303, {_}: multiply ?816 (inverse ?817) =>= divide ?816 ?817 [817, 816] by Super 34 with 225 at 2,3
% 0.18/0.48 Id : 627, {_}: multiply (divide ?1434 ?1435) ?1435 =>= ?1434 [1435, 1434] by Demod 609 with 303 at 1,2
% 0.18/0.48 Id : 811, {_}: divide ?1809 ?1810 =<= inverse (divide ?1810 ?1809) [1810, 1809] by Super 523 with 627 at 2,2
% 0.18/0.48 Id : 821, {_}: divide (inverse ?1845) ?1846 =>= inverse (multiply ?1846 ?1845) [1846, 1845] by Super 811 with 34 at 1,3
% 0.18/0.48 Id : 839, {_}: divide ?22 (divide (inverse (multiply (divide (divide (inverse ?24) ?25) (divide ?22 ?25)) ?23)) ?24) =>= ?23 [23, 25, 24, 22] by Demod 295 with 821 at 1,2,2
% 0.18/0.48 Id : 840, {_}: divide ?22 (inverse (multiply ?24 (multiply (divide (divide (inverse ?24) ?25) (divide ?22 ?25)) ?23))) =>= ?23 [23, 25, 24, 22] by Demod 839 with 821 at 2,2
% 0.18/0.48 Id : 841, {_}: divide ?22 (inverse (multiply ?24 (multiply (divide (inverse (multiply ?25 ?24)) (divide ?22 ?25)) ?23))) =>= ?23 [23, 25, 24, 22] by Demod 840 with 821 at 1,1,2,1,2,2
% 0.18/0.49 Id : 842, {_}: divide ?22 (inverse (multiply ?24 (multiply (inverse (multiply (divide ?22 ?25) (multiply ?25 ?24))) ?23))) =>= ?23 [23, 25, 24, 22] by Demod 841 with 821 at 1,2,1,2,2
% 0.18/0.49 Id : 849, {_}: multiply ?22 (multiply ?24 (multiply (inverse (multiply (divide ?22 ?25) (multiply ?25 ?24))) ?23)) =>= ?23 [23, 25, 24, 22] by Demod 842 with 34 at 2
% 0.18/0.49 Id : 42, {_}: inverse ?111 =<= divide (multiply (inverse ?112) ?112) ?111 [112, 111] by Super 40 with 34 at 1,3
% 0.18/0.49 Id : 181, {_}: divide ?540 (inverse (multiply (inverse ?541) ?541)) =>= ?540 [541, 540] by Super 176 with 42 at 2,2
% 0.18/0.49 Id : 208, {_}: multiply ?540 (multiply (inverse ?541) ?541) =>= ?540 [541, 540] by Demod 181 with 34 at 2
% 0.18/0.49 Id : 2768, {_}: multiply ?4853 ?4854 =<= multiply (divide ?4853 ?4855) (multiply ?4855 ?4854) [4855, 4854, 4853] by Super 849 with 208 at 2,2
% 0.18/0.49 Id : 2788, {_}: multiply (multiply ?4940 ?4941) ?4942 =>= multiply ?4940 (multiply ?4941 ?4942) [4942, 4941, 4940] by Super 2768 with 546 at 1,3
% 0.18/0.49 Id : 2937, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 2788 at 2
% 0.18/0.49 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.49 17350: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.155673 using kbo
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