TSTP Solution File: GRP567-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n028.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 10:30:48 EDT 2022
% Result : Unsatisfiable 18.47s 4.93s
% Output : CNFRefutation 18.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n028.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 17:25:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 32666: Facts:
% 0.13/0.35 32666: Id : 2, {_}:
% 0.13/0.35 double_divide
% 0.13/0.35 (double_divide ?2
% 0.13/0.35 (double_divide (double_divide ?3 (double_divide ?2 ?4))
% 0.13/0.35 (double_divide identity ?4))) (double_divide identity identity)
% 0.13/0.35 =>=
% 0.13/0.35 ?3
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 32666: Id : 3, {_}:
% 0.13/0.35 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.13/0.35 [7, 6] by multiply ?6 ?7
% 0.13/0.35 32666: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 32666: Id : 5, {_}:
% 0.13/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.35 [11] by identity ?11
% 0.13/0.35 32666: Goal:
% 0.13/0.35 32666: Id : 1, {_}:
% 0.13/0.35 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.35 [] by prove_these_axioms_3
% 18.47/4.93 Statistics :
% 18.47/4.93 Max weight : 32
% 18.47/4.93 Found proof, 4.586339s
% 18.47/4.93 % SZS status Unsatisfiable for theBenchmark.p
% 18.47/4.93 % SZS output start CNFRefutation for theBenchmark.p
% 18.47/4.93 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 18.47/4.93 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 18.47/4.93 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide ?14 (double_divide ?13 ?15)) (double_divide identity ?15))) (double_divide identity identity) =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 18.47/4.93 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 18.47/4.93 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) (double_divide identity identity) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 18.47/4.93 Id : 16, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) (inverse identity) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,2
% 18.47/4.93 Id : 7, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (double_divide (double_divide ?20 ?18) (double_divide identity (double_divide identity identity)))) (double_divide identity identity) =>= ?20 [20, 19, 18, 17] by Super 6 with 2 at 2,1,2,1,2
% 18.47/4.93 Id : 35, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (double_divide (double_divide ?20 ?18) (double_divide identity (inverse identity)))) (double_divide identity identity) =>= ?20 [20, 19, 18, 17] by Demod 7 with 4 at 2,2,2,1,2
% 18.47/4.93 Id : 36, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (double_divide (double_divide ?20 ?18) (double_divide identity (inverse identity)))) (inverse identity) =>= ?20 [20, 19, 18, 17] by Demod 35 with 4 at 2,2
% 18.47/4.93 Id : 37, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (double_divide (double_divide ?20 ?18) identity)) (inverse identity) =>= ?20 [20, 19, 18, 17] by Demod 36 with 5 at 2,2,1,2
% 18.47/4.93 Id : 38, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (inverse (double_divide ?20 ?18))) (inverse identity) =>= ?20 [20, 19, 18, 17] by Demod 37 with 4 at 2,1,2
% 18.47/4.93 Id : 15, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 18.47/4.93 Id : 39, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (multiply ?18 ?20)) (inverse identity) =>= ?20 [20, 19, 18, 17] by Demod 38 with 15 at 2,1,2
% 18.47/4.93 Id : 26, {_}: multiply (inverse ?63) ?63 =>= inverse identity [63] by Super 15 with 5 at 1,3
% 18.47/4.93 Id : 65, {_}: double_divide (double_divide (double_divide ?126 (double_divide (double_divide (inverse ?127) (double_divide ?126 ?128)) (double_divide identity ?128))) (inverse identity)) (inverse identity) =>= ?127 [128, 127, 126] by Super 39 with 26 at 2,1,2
% 18.47/4.93 Id : 69, {_}: double_divide (inverse ?127) (inverse identity) =>= ?127 [127] by Demod 65 with 16 at 1,2
% 18.47/4.93 Id : 71, {_}: multiply (inverse identity) (inverse ?140) =>= inverse ?140 [140] by Super 15 with 69 at 1,3
% 18.47/4.93 Id : 162, {_}: double_divide (double_divide (double_divide ?301 (double_divide (double_divide (inverse identity) (double_divide ?301 ?302)) (double_divide identity ?302))) (inverse ?303)) (inverse identity) =>= inverse ?303 [303, 302, 301] by Super 39 with 71 at 2,1,2
% 18.47/4.93 Id : 8, {_}: double_divide (double_divide identity (double_divide ?22 (double_divide identity identity))) (double_divide identity identity) =?= double_divide ?23 (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) [24, 23, 22] by Super 6 with 2 at 1,2,1,2
% 18.47/4.93 Id : 82, {_}: double_divide (double_divide identity (double_divide ?22 (inverse identity))) (double_divide identity identity) =?= double_divide ?23 (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) [24, 23, 22] by Demod 8 with 4 at 2,2,1,2
% 18.47/4.93 Id : 83, {_}: double_divide (double_divide identity (double_divide ?22 (inverse identity))) (inverse identity) =?= double_divide ?23 (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) [24, 23, 22] by Demod 82 with 4 at 2,2
% 18.47/4.93 Id : 166, {_}: double_divide (double_divide (double_divide (double_divide identity (double_divide (inverse identity) (inverse identity))) (inverse identity)) (inverse ?303)) (inverse identity) =>= inverse ?303 [303] by Demod 162 with 83 at 1,1,2
% 18.47/4.93 Id : 167, {_}: double_divide (double_divide (double_divide (double_divide identity identity) (inverse identity)) (inverse ?303)) (inverse identity) =>= inverse ?303 [303] by Demod 166 with 69 at 2,1,1,1,2
% 18.47/4.93 Id : 168, {_}: double_divide (double_divide (double_divide (inverse identity) (inverse identity)) (inverse ?303)) (inverse identity) =>= inverse ?303 [303] by Demod 167 with 4 at 1,1,1,2
% 18.47/4.93 Id : 206, {_}: double_divide (double_divide identity (inverse ?359)) (inverse identity) =>= inverse ?359 [359] by Demod 168 with 69 at 1,1,2
% 18.47/4.93 Id : 208, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 206 with 5 at 1,2
% 18.47/4.93 Id : 223, {_}: identity =<= inverse identity [] by Demod 208 with 5 at 2
% 18.47/4.93 Id : 270, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) identity =>= ?3 [4, 3, 2] by Demod 16 with 223 at 2,2
% 18.47/4.93 Id : 73, {_}: double_divide (inverse ?145) (inverse identity) =>= ?145 [145] by Demod 65 with 16 at 1,2
% 18.47/4.93 Id : 74, {_}: double_divide (multiply ?147 ?148) (inverse identity) =>= double_divide ?148 ?147 [148, 147] by Super 73 with 15 at 1,2
% 18.47/4.93 Id : 275, {_}: double_divide (multiply ?147 ?148) identity =>= double_divide ?148 ?147 [148, 147] by Demod 74 with 223 at 2,2
% 18.47/4.93 Id : 276, {_}: inverse (multiply ?147 ?148) =<= double_divide ?148 ?147 [148, 147] by Demod 275 with 4 at 2
% 18.47/4.93 Id : 310, {_}: inverse (multiply identity (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4)))) =>= ?3 [4, 3, 2] by Demod 270 with 276 at 2
% 18.47/4.93 Id : 17, {_}: multiply identity ?45 =>= inverse (inverse ?45) [45] by Super 15 with 4 at 1,3
% 18.47/4.93 Id : 272, {_}: double_divide (inverse ?127) identity =>= ?127 [127] by Demod 69 with 223 at 2,2
% 18.47/4.93 Id : 294, {_}: inverse (multiply identity (inverse ?127)) =>= ?127 [127] by Demod 272 with 276 at 2
% 18.47/4.93 Id : 295, {_}: inverse (inverse (inverse (inverse ?127))) =>= ?127 [127] by Demod 294 with 17 at 1,2
% 18.47/4.93 Id : 277, {_}: inverse ?9 =<= inverse (multiply identity ?9) [9] by Demod 4 with 276 at 3
% 18.47/4.93 Id : 280, {_}: inverse ?9 =<= inverse (inverse (inverse ?9)) [9] by Demod 277 with 17 at 1,3
% 18.47/4.93 Id : 296, {_}: inverse (inverse ?127) =>= ?127 [127] by Demod 295 with 280 at 2
% 18.47/4.93 Id : 298, {_}: multiply identity ?45 =>= ?45 [45] by Demod 17 with 296 at 3
% 18.47/4.93 Id : 311, {_}: inverse (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4))) =>= ?3 [4, 3, 2] by Demod 310 with 298 at 1,2
% 18.47/4.93 Id : 312, {_}: inverse (inverse (multiply (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4)) ?2)) =>= ?3 [4, 2, 3] by Demod 311 with 276 at 1,2
% 18.47/4.93 Id : 313, {_}: multiply (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide identity ?4)) ?2 =>= ?3 [4, 2, 3] by Demod 312 with 296 at 2
% 18.47/4.93 Id : 314, {_}: multiply (inverse (multiply (double_divide identity ?4) (double_divide ?3 (double_divide ?2 ?4)))) ?2 =>= ?3 [2, 3, 4] by Demod 313 with 276 at 1,2
% 18.47/4.93 Id : 315, {_}: multiply (inverse (multiply (inverse (multiply ?4 identity)) (double_divide ?3 (double_divide ?2 ?4)))) ?2 =>= ?3 [2, 3, 4] by Demod 314 with 276 at 1,1,1,2
% 18.47/4.93 Id : 316, {_}: multiply (inverse (multiply (inverse (multiply ?4 identity)) (inverse (multiply (double_divide ?2 ?4) ?3)))) ?2 =>= ?3 [3, 2, 4] by Demod 315 with 276 at 2,1,1,2
% 18.47/4.93 Id : 317, {_}: multiply (inverse (multiply (inverse (multiply ?4 identity)) (inverse (multiply (inverse (multiply ?4 ?2)) ?3)))) ?2 =>= ?3 [3, 2, 4] by Demod 316 with 276 at 1,1,2,1,1,2
% 18.47/4.93 Id : 271, {_}: double_divide (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (multiply ?18 ?20)) identity =>= ?20 [20, 19, 18, 17] by Demod 39 with 223 at 2,2
% 18.47/4.93 Id : 300, {_}: inverse (multiply identity (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (multiply ?18 ?20))) =>= ?20 [20, 19, 18, 17] by Demod 271 with 276 at 2
% 18.47/4.93 Id : 301, {_}: inverse (double_divide (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) (multiply ?18 ?20)) =>= ?20 [20, 19, 18, 17] by Demod 300 with 298 at 1,2
% 18.47/4.93 Id : 302, {_}: inverse (inverse (multiply (multiply ?18 ?20) (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))))) =>= ?20 [19, 17, 20, 18] by Demod 301 with 276 at 1,2
% 18.47/4.93 Id : 303, {_}: multiply (multiply ?18 ?20) (double_divide ?17 (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19))) =>= ?20 [19, 17, 20, 18] by Demod 302 with 296 at 2
% 18.47/4.93 Id : 304, {_}: multiply (multiply ?18 ?20) (inverse (multiply (double_divide (double_divide ?18 (double_divide ?17 ?19)) (double_divide identity ?19)) ?17)) =>= ?20 [19, 17, 20, 18] by Demod 303 with 276 at 2,2
% 18.47/4.93 Id : 305, {_}: multiply (multiply ?18 ?20) (inverse (multiply (inverse (multiply (double_divide identity ?19) (double_divide ?18 (double_divide ?17 ?19)))) ?17)) =>= ?20 [17, 19, 20, 18] by Demod 304 with 276 at 1,1,2,2
% 18.47/4.93 Id : 306, {_}: multiply (multiply ?18 ?20) (inverse (multiply (inverse (multiply (inverse (multiply ?19 identity)) (double_divide ?18 (double_divide ?17 ?19)))) ?17)) =>= ?20 [17, 19, 20, 18] by Demod 305 with 276 at 1,1,1,1,2,2
% 18.47/4.93 Id : 307, {_}: multiply (multiply ?18 ?20) (inverse (multiply (inverse (multiply (inverse (multiply ?19 identity)) (inverse (multiply (double_divide ?17 ?19) ?18)))) ?17)) =>= ?20 [17, 19, 20, 18] by Demod 306 with 276 at 2,1,1,1,2,2
% 18.47/4.93 Id : 308, {_}: multiply (multiply ?18 ?20) (inverse (multiply (inverse (multiply (inverse (multiply ?19 identity)) (inverse (multiply (inverse (multiply ?19 ?17)) ?18)))) ?17)) =>= ?20 [17, 19, 20, 18] by Demod 307 with 276 at 1,1,2,1,1,1,2,2
% 18.47/4.93 Id : 273, {_}: double_divide (double_divide identity (double_divide ?22 identity)) (inverse identity) =?= double_divide ?23 (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) [24, 23, 22] by Demod 83 with 223 at 2,2,1,2
% 18.47/4.93 Id : 274, {_}: double_divide (double_divide identity (double_divide ?22 identity)) identity =?= double_divide ?23 (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) [24, 23, 22] by Demod 273 with 223 at 2,2
% 18.47/4.93 Id : 281, {_}: inverse (multiply identity (double_divide identity (double_divide ?22 identity))) =<= double_divide ?23 (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) [24, 23, 22] by Demod 274 with 276 at 2
% 18.47/4.93 Id : 282, {_}: inverse (multiply identity (double_divide identity (double_divide ?22 identity))) =<= inverse (multiply (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) ?23) [24, 23, 22] by Demod 281 with 276 at 3
% 18.47/4.93 Id : 283, {_}: inverse (inverse (inverse (double_divide identity (double_divide ?22 identity)))) =<= inverse (multiply (double_divide (double_divide ?22 (double_divide ?23 ?24)) (double_divide identity ?24)) ?23) [24, 23, 22] by Demod 282 with 17 at 1,2
% 18.47/4.93 Id : 284, {_}: inverse (inverse (inverse (double_divide identity (double_divide ?22 identity)))) =?= inverse (multiply (inverse (multiply (double_divide identity ?24) (double_divide ?22 (double_divide ?23 ?24)))) ?23) [23, 24, 22] by Demod 283 with 276 at 1,1,3
% 18.47/4.94 Id : 285, {_}: inverse (double_divide identity (double_divide ?22 identity)) =?= inverse (multiply (inverse (multiply (double_divide identity ?24) (double_divide ?22 (double_divide ?23 ?24)))) ?23) [23, 24, 22] by Demod 284 with 280 at 2
% 18.47/4.94 Id : 286, {_}: inverse (double_divide identity (double_divide ?22 identity)) =?= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (double_divide ?22 (double_divide ?23 ?24)))) ?23) [23, 24, 22] by Demod 285 with 276 at 1,1,1,1,3
% 18.47/4.94 Id : 287, {_}: inverse (double_divide identity (double_divide ?22 identity)) =?= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (double_divide ?23 ?24) ?22)))) ?23) [23, 24, 22] by Demod 286 with 276 at 2,1,1,1,3
% 18.47/4.94 Id : 288, {_}: inverse (inverse (multiply (double_divide ?22 identity) identity)) =?= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (double_divide ?23 ?24) ?22)))) ?23) [23, 24, 22] by Demod 287 with 276 at 1,2
% 18.47/4.94 Id : 289, {_}: inverse (inverse (multiply (double_divide ?22 identity) identity)) =?= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (inverse (multiply ?24 ?23)) ?22)))) ?23) [23, 24, 22] by Demod 288 with 276 at 1,1,2,1,1,1,3
% 18.47/4.94 Id : 278, {_}: multiply ?6 ?7 =<= inverse (inverse (multiply ?6 ?7)) [7, 6] by Demod 15 with 276 at 1,3
% 18.47/4.94 Id : 290, {_}: multiply (double_divide ?22 identity) identity =?= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (inverse (multiply ?24 ?23)) ?22)))) ?23) [23, 24, 22] by Demod 289 with 278 at 2
% 18.47/4.94 Id : 291, {_}: multiply (inverse (multiply identity ?22)) identity =<= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (inverse (multiply ?24 ?23)) ?22)))) ?23) [23, 24, 22] by Demod 290 with 276 at 1,2
% 18.47/4.94 Id : 292, {_}: multiply (inverse (inverse (inverse ?22))) identity =<= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (inverse (multiply ?24 ?23)) ?22)))) ?23) [23, 24, 22] by Demod 291 with 17 at 1,1,2
% 18.47/4.94 Id : 293, {_}: multiply (inverse ?22) identity =<= inverse (multiply (inverse (multiply (inverse (multiply ?24 identity)) (inverse (multiply (inverse (multiply ?24 ?23)) ?22)))) ?23) [23, 24, 22] by Demod 292 with 280 at 1,2
% 18.47/4.94 Id : 309, {_}: multiply (multiply ?18 ?20) (multiply (inverse ?18) identity) =>= ?20 [20, 18] by Demod 308 with 293 at 2,2
% 18.47/4.94 Id : 318, {_}: multiply (inverse ?22) identity =>= inverse ?22 [22] by Demod 293 with 317 at 1,3
% 18.47/4.94 Id : 319, {_}: multiply (multiply ?18 ?20) (inverse ?18) =>= ?20 [20, 18] by Demod 309 with 318 at 2,2
% 18.47/4.94 Id : 341, {_}: multiply (multiply identity ?457) identity =>= ?457 [457] by Super 319 with 223 at 2,2
% 18.47/4.94 Id : 344, {_}: multiply ?457 identity =>= ?457 [457] by Demod 341 with 298 at 1,2
% 18.47/4.94 Id : 350, {_}: multiply (inverse (multiply (inverse ?4) (inverse (multiply (inverse (multiply ?4 ?2)) ?3)))) ?2 =>= ?3 [3, 2, 4] by Demod 317 with 344 at 1,1,1,1,2
% 18.47/4.94 Id : 351, {_}: multiply (inverse (multiply (inverse ?461) (inverse (multiply (inverse ?461) ?462)))) identity =>= ?462 [462, 461] by Super 350 with 344 at 1,1,1,2,1,1,2
% 18.47/4.94 Id : 424, {_}: inverse (multiply (inverse ?525) (inverse (multiply (inverse ?525) ?526))) =>= ?526 [526, 525] by Demod 351 with 344 at 2
% 18.47/4.94 Id : 425, {_}: inverse (multiply (inverse (inverse ?528)) (inverse (multiply ?528 ?529))) =>= ?529 [529, 528] by Super 424 with 296 at 1,1,2,1,2
% 18.47/4.94 Id : 438, {_}: inverse (multiply ?528 (inverse (multiply ?528 ?529))) =>= ?529 [529, 528] by Demod 425 with 296 at 1,1,2
% 18.47/4.94 Id : 544, {_}: inverse ?670 =<= multiply ?671 (inverse (multiply ?671 ?670)) [671, 670] by Super 296 with 438 at 1,2
% 18.47/4.94 Id : 547, {_}: inverse (inverse ?677) =<= multiply (multiply ?677 ?678) (inverse ?678) [678, 677] by Super 544 with 319 at 1,2,3
% 18.47/4.94 Id : 575, {_}: ?712 =<= multiply (multiply ?712 ?713) (inverse ?713) [713, 712] by Demod 547 with 296 at 2
% 18.47/4.94 Id : 509, {_}: inverse ?603 =<= multiply ?604 (inverse (multiply ?604 ?603)) [604, 603] by Super 296 with 438 at 1,2
% 18.47/4.94 Id : 585, {_}: ?738 =<= multiply (inverse ?739) (inverse (inverse (multiply ?738 ?739))) [739, 738] by Super 575 with 509 at 1,3
% 18.47/4.94 Id : 603, {_}: ?738 =<= multiply (inverse ?739) (multiply ?738 ?739) [739, 738] by Demod 585 with 296 at 2,3
% 18.47/4.94 Id : 25, {_}: double_divide (double_divide ?60 (double_divide (double_divide ?61 identity) (double_divide identity (inverse ?60)))) (inverse identity) =>= ?61 [61, 60] by Super 16 with 5 at 2,1,2,1,2
% 18.47/4.94 Id : 32, {_}: double_divide (double_divide ?60 (double_divide (inverse ?61) (double_divide identity (inverse ?60)))) (inverse identity) =>= ?61 [61, 60] by Demod 25 with 4 at 1,2,1,2
% 18.47/4.94 Id : 703, {_}: inverse (multiply (inverse identity) (double_divide ?60 (double_divide (inverse ?61) (double_divide identity (inverse ?60))))) =>= ?61 [61, 60] by Demod 32 with 276 at 2
% 18.47/4.94 Id : 704, {_}: inverse (multiply identity (double_divide ?60 (double_divide (inverse ?61) (double_divide identity (inverse ?60))))) =>= ?61 [61, 60] by Demod 703 with 223 at 1,1,2
% 18.47/4.94 Id : 705, {_}: inverse (multiply identity (inverse (multiply (double_divide (inverse ?61) (double_divide identity (inverse ?60))) ?60))) =>= ?61 [60, 61] by Demod 704 with 276 at 2,1,2
% 18.47/4.94 Id : 706, {_}: inverse (inverse (multiply (double_divide (inverse ?61) (double_divide identity (inverse ?60))) ?60)) =>= ?61 [60, 61] by Demod 705 with 298 at 1,2
% 18.47/4.94 Id : 707, {_}: multiply (double_divide (inverse ?61) (double_divide identity (inverse ?60))) ?60 =>= ?61 [60, 61] by Demod 706 with 296 at 2
% 18.47/4.94 Id : 708, {_}: multiply (inverse (multiply (double_divide identity (inverse ?60)) (inverse ?61))) ?60 =>= ?61 [61, 60] by Demod 707 with 276 at 1,2
% 18.47/4.94 Id : 709, {_}: multiply (inverse (multiply (inverse (multiply (inverse ?60) identity)) (inverse ?61))) ?60 =>= ?61 [61, 60] by Demod 708 with 276 at 1,1,1,2
% 18.47/4.94 Id : 710, {_}: multiply (inverse (multiply (inverse (inverse ?60)) (inverse ?61))) ?60 =>= ?61 [61, 60] by Demod 709 with 344 at 1,1,1,1,2
% 18.47/4.94 Id : 711, {_}: multiply (inverse (multiply ?60 (inverse ?61))) ?60 =>= ?61 [61, 60] by Demod 710 with 296 at 1,1,1,2
% 18.47/4.94 Id : 712, {_}: inverse (multiply ?870 (inverse ?871)) =<= multiply (inverse ?870) ?871 [871, 870] by Super 603 with 711 at 2,3
% 18.47/4.94 Id : 767, {_}: inverse (multiply (multiply (inverse ?4) (inverse (multiply (inverse (multiply ?4 ?2)) ?3))) (inverse ?2)) =>= ?3 [3, 2, 4] by Demod 350 with 712 at 2
% 18.47/4.94 Id : 768, {_}: inverse (multiply (inverse (multiply ?4 (inverse (inverse (multiply (inverse (multiply ?4 ?2)) ?3))))) (inverse ?2)) =>= ?3 [3, 2, 4] by Demod 767 with 712 at 1,1,2
% 18.47/4.94 Id : 769, {_}: inverse (inverse (multiply (multiply ?4 (inverse (inverse (multiply (inverse (multiply ?4 ?2)) ?3)))) (inverse (inverse ?2)))) =>= ?3 [3, 2, 4] by Demod 768 with 712 at 1,2
% 18.47/4.94 Id : 770, {_}: inverse (inverse (multiply (multiply ?4 (inverse (inverse (inverse (multiply (multiply ?4 ?2) (inverse ?3)))))) (inverse (inverse ?2)))) =>= ?3 [3, 2, 4] by Demod 769 with 712 at 1,1,2,1,1,1,2
% 18.47/4.94 Id : 775, {_}: multiply (multiply ?4 (inverse (inverse (inverse (multiply (multiply ?4 ?2) (inverse ?3)))))) (inverse (inverse ?2)) =>= ?3 [3, 2, 4] by Demod 770 with 296 at 2
% 18.47/4.94 Id : 776, {_}: multiply (multiply ?4 (inverse (multiply (multiply ?4 ?2) (inverse ?3)))) (inverse (inverse ?2)) =>= ?3 [3, 2, 4] by Demod 775 with 296 at 2,1,2
% 18.47/4.94 Id : 777, {_}: multiply (multiply ?4 (inverse (multiply (multiply ?4 ?2) (inverse ?3)))) ?2 =>= ?3 [3, 2, 4] by Demod 776 with 296 at 2,2
% 18.47/4.94 Id : 653, {_}: ?830 =<= multiply (inverse ?831) (multiply ?830 ?831) [831, 830] by Demod 585 with 296 at 2,3
% 18.47/4.94 Id : 863, {_}: ?1019 =<= multiply ?1020 (multiply ?1019 (inverse ?1020)) [1020, 1019] by Super 653 with 296 at 1,3
% 18.47/4.94 Id : 874, {_}: inverse ?1051 =<= multiply ?1052 (inverse (multiply ?1051 (inverse (inverse ?1052)))) [1052, 1051] by Super 863 with 712 at 2,3
% 18.47/4.94 Id : 894, {_}: inverse ?1051 =<= multiply ?1052 (inverse (multiply ?1051 ?1052)) [1052, 1051] by Demod 874 with 296 at 2,1,2,3
% 18.47/4.94 Id : 920, {_}: multiply (multiply ?1084 (inverse (inverse ?1085))) ?1086 =>= multiply ?1085 (multiply ?1084 ?1086) [1086, 1085, 1084] by Super 777 with 894 at 1,2,1,2
% 18.47/4.94 Id : 943, {_}: multiply (multiply ?1084 ?1085) ?1086 =>= multiply ?1085 (multiply ?1084 ?1086) [1086, 1085, 1084] by Demod 920 with 296 at 2,1,2
% 18.47/4.94 Id : 722, {_}: multiply (inverse (multiply ?900 (inverse ?901))) ?900 =>= ?901 [901, 900] by Demod 710 with 296 at 1,1,1,2
% 18.47/4.94 Id : 732, {_}: multiply (inverse (inverse ?927)) ?928 =?= multiply ?928 ?927 [928, 927] by Super 722 with 509 at 1,1,2
% 18.47/4.94 Id : 757, {_}: multiply ?927 ?928 =?= multiply ?928 ?927 [928, 927] by Demod 732 with 296 at 1,2
% 18.47/4.94 Id : 1076, {_}: multiply (multiply ?1255 ?1256) ?1257 =>= multiply ?1255 (multiply ?1256 ?1257) [1257, 1256, 1255] by Super 943 with 757 at 1,2
% 18.47/4.94 Id : 1097, {_}: multiply ?1256 (multiply ?1255 ?1257) =?= multiply ?1255 (multiply ?1256 ?1257) [1257, 1255, 1256] by Demod 1076 with 943 at 2
% 18.47/4.94 Id : 8216, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1059 with 1097 at 2
% 18.47/4.94 Id : 1059, {_}: multiply b3 (multiply a3 c3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 943 at 2
% 18.47/4.94 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 18.47/4.94 % SZS output end CNFRefutation for theBenchmark.p
% 18.47/4.94 32668: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 4.590268 using lpo
%------------------------------------------------------------------------------