TSTP Solution File: GRP579-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n011.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 10:30:51 EDT 2022
% Result : Unsatisfiable 25.21s 6.62s
% Output : CNFRefutation 25.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 12:18:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 4160: Facts:
% 0.13/0.34 4160: Id : 2, {_}:
% 0.13/0.34 double_divide
% 0.13/0.34 (double_divide ?2
% 0.13/0.34 (double_divide (double_divide (double_divide ?3 ?2) ?4)
% 0.13/0.34 (double_divide ?3 identity))) (double_divide identity identity)
% 0.13/0.34 =>=
% 0.13/0.34 ?4
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 4160: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 4160: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.34 4160: Id : 5, {_}:
% 0.13/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.34 [11] by identity ?11
% 0.13/0.34 4160: Goal:
% 0.13/0.34 4160: Id : 1, {_}:
% 0.13/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.34 [] by prove_these_axioms_3
% 25.21/6.62 Statistics :
% 25.21/6.62 Max weight : 32
% 25.21/6.62 Found proof, 6.280580s
% 25.21/6.62 % SZS status Unsatisfiable for theBenchmark.p
% 25.21/6.62 % SZS output start CNFRefutation for theBenchmark.p
% 25.21/6.62 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide (double_divide ?14 ?13) ?15) (double_divide ?14 identity))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 25.21/6.62 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 25.21/6.62 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 25.21/6.62 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 25.21/6.62 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (double_divide ?3 identity))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 25.21/6.62 Id : 20, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (double_divide identity identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 25.21/6.62 Id : 21, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 20 with 4 at 2,2
% 25.21/6.62 Id : 29, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= inverse (double_divide ?73 ?72) [73, 72] by Super 21 with 5 at 1,2,1,2
% 25.21/6.62 Id : 19, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 25.21/6.62 Id : 34, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= multiply ?72 ?73 [73, 72] by Demod 29 with 19 at 3
% 25.21/6.62 Id : 9, {_}: double_divide (double_divide ?26 ?27) (double_divide identity identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Super 6 with 2 at 2,1,2
% 25.21/6.62 Id : 208, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Demod 9 with 4 at 2,2
% 25.21/6.62 Id : 225, {_}: double_divide (double_divide ?556 ?557) (inverse identity) =<= double_divide (double_divide (double_divide ?558 (double_divide identity ?556)) ?557) (inverse ?558) [558, 557, 556] by Demod 208 with 4 at 2,3
% 25.21/6.62 Id : 229, {_}: double_divide (double_divide (inverse ?571) (inverse identity)) (inverse identity) =?= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Super 225 with 34 at 1,3
% 25.21/6.62 Id : 164, {_}: double_divide (double_divide ?410 (double_divide identity (inverse ?411))) (inverse identity) =>= multiply ?410 ?411 [411, 410] by Demod 29 with 19 at 3
% 25.21/6.62 Id : 166, {_}: double_divide (double_divide ?417 identity) (inverse identity) =>= multiply ?417 identity [417] by Super 164 with 5 at 2,1,2
% 25.21/6.62 Id : 176, {_}: double_divide (inverse ?417) (inverse identity) =>= multiply ?417 identity [417] by Demod 166 with 4 at 1,2
% 25.21/6.62 Id : 250, {_}: double_divide (multiply ?571 identity) (inverse identity) =?= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 229 with 176 at 1,2
% 25.21/6.62 Id : 186, {_}: double_divide (inverse ?446) (inverse identity) =>= multiply ?446 identity [446] by Demod 166 with 4 at 1,2
% 25.21/6.62 Id : 187, {_}: double_divide (multiply ?448 ?449) (inverse identity) =>= multiply (double_divide ?449 ?448) identity [449, 448] by Super 186 with 19 at 1,2
% 25.21/6.62 Id : 251, {_}: multiply (double_divide identity ?571) identity =<= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 250 with 187 at 2
% 25.21/6.62 Id : 423, {_}: multiply (double_divide identity ?1014) identity =?= multiply (double_divide ?1014 identity) identity [1014] by Super 187 with 251 at 2
% 25.21/6.62 Id : 446, {_}: multiply (double_divide identity ?1014) identity =>= multiply (inverse ?1014) identity [1014] by Demod 423 with 4 at 1,3
% 25.21/6.62 Id : 452, {_}: multiply (inverse ?571) identity =<= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 251 with 446 at 2
% 25.21/6.62 Id : 460, {_}: multiply (double_divide identity ?1091) identity =>= multiply (inverse ?1091) identity [1091] by Demod 423 with 4 at 1,3
% 25.21/6.62 Id : 462, {_}: multiply identity identity =<= multiply (inverse (inverse identity)) identity [] by Super 460 with 5 at 1,2
% 25.21/6.62 Id : 22, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 19 with 4 at 1,3
% 25.21/6.62 Id : 474, {_}: inverse (inverse identity) =<= multiply (inverse (inverse identity)) identity [] by Demod 462 with 22 at 2
% 25.21/6.62 Id : 477, {_}: multiply (inverse identity) identity =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse identity))) [] by Super 452 with 474 at 1,3
% 25.21/6.62 Id : 30, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 19 with 5 at 1,3
% 25.21/6.62 Id : 490, {_}: inverse identity =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse identity))) [] by Demod 477 with 30 at 2
% 25.21/6.62 Id : 491, {_}: inverse identity =>= identity [] by Demod 490 with 5 at 3
% 25.21/6.62 Id : 511, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) identity =>= multiply ?72 ?73 [73, 72] by Demod 34 with 491 at 2,2
% 25.21/6.62 Id : 544, {_}: inverse (double_divide ?72 (double_divide identity (inverse ?73))) =>= multiply ?72 ?73 [73, 72] by Demod 511 with 4 at 2
% 25.21/6.62 Id : 545, {_}: multiply (double_divide identity (inverse ?73)) ?72 =?= multiply ?72 ?73 [72, 73] by Demod 544 with 19 at 2
% 25.21/6.62 Id : 209, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 27, 26] by Demod 208 with 4 at 2,3
% 25.21/6.62 Id : 210, {_}: double_divide (double_divide ?491 (double_divide identity (inverse ?492))) (inverse identity) =>= multiply (double_divide identity (double_divide identity ?491)) ?492 [492, 491] by Super 34 with 209 at 2
% 25.21/6.62 Id : 248, {_}: multiply ?491 ?492 =<= multiply (double_divide identity (double_divide identity ?491)) ?492 [492, 491] by Demod 210 with 34 at 2
% 25.21/6.62 Id : 459, {_}: multiply ?1089 identity =<= multiply (inverse (double_divide identity ?1089)) identity [1089] by Super 248 with 446 at 3
% 25.21/6.62 Id : 465, {_}: multiply ?1089 identity =<= multiply (multiply ?1089 identity) identity [1089] by Demod 459 with 19 at 1,3
% 25.21/6.62 Id : 518, {_}: double_divide (inverse ?417) identity =>= multiply ?417 identity [417] by Demod 176 with 491 at 2,2
% 25.21/6.62 Id : 525, {_}: inverse (inverse ?417) =<= multiply ?417 identity [417] by Demod 518 with 4 at 2
% 25.21/6.62 Id : 694, {_}: inverse (inverse ?1089) =<= multiply (multiply ?1089 identity) identity [1089] by Demod 465 with 525 at 2
% 25.21/6.62 Id : 695, {_}: inverse (inverse ?1089) =<= inverse (inverse (multiply ?1089 identity)) [1089] by Demod 694 with 525 at 3
% 25.21/6.62 Id : 708, {_}: inverse (inverse ?1244) =<= inverse (inverse (inverse (inverse ?1244))) [1244] by Demod 695 with 525 at 1,1,3
% 25.21/6.62 Id : 7, {_}: double_divide (double_divide (double_divide identity identity) (double_divide (double_divide ?17 ?18) (double_divide (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity))) identity))) (double_divide identity identity) =>= ?18 [20, 19, 18, 17] by Super 6 with 2 at 1,1,2,1,2
% 25.21/6.62 Id : 37, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (double_divide (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity))) identity))) (double_divide identity identity) =>= ?18 [20, 19, 18, 17] by Demod 7 with 4 at 1,1,2
% 25.21/6.62 Id : 38, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (inverse (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity)))))) (double_divide identity identity) =>= ?18 [20, 19, 18, 17] by Demod 37 with 4 at 2,2,1,2
% 25.21/6.62 Id : 39, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (inverse (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity)))))) (inverse identity) =>= ?18 [20, 19, 18, 17] by Demod 38 with 4 at 2,2
% 25.21/6.62 Id : 40, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity)) ?19))) (inverse identity) =>= ?18 [19, 20, 18, 17] by Demod 39 with 19 at 2,2,1,2
% 25.21/6.62 Id : 41, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) (inverse identity) =>= ?18 [19, 20, 18, 17] by Demod 40 with 4 at 2,1,2,2,1,2
% 25.21/6.62 Id : 514, {_}: double_divide (double_divide identity (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) (inverse identity) =>= ?18 [19, 20, 18, 17] by Demod 41 with 491 at 1,1,2
% 25.21/6.62 Id : 515, {_}: double_divide (double_divide identity (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) identity =>= ?18 [19, 20, 18, 17] by Demod 514 with 491 at 2,2
% 25.21/6.62 Id : 537, {_}: inverse (double_divide identity (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) =>= ?18 [19, 20, 18, 17] by Demod 515 with 4 at 2
% 25.21/6.62 Id : 538, {_}: multiply (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19)) identity =>= ?18 [19, 20, 18, 17] by Demod 537 with 19 at 2
% 25.21/6.62 Id : 539, {_}: inverse (inverse (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) =>= ?18 [19, 20, 18, 17] by Demod 538 with 525 at 2
% 25.21/6.62 Id : 540, {_}: inverse (multiply (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19) (double_divide ?17 ?18)) =>= ?18 [18, 17, 19, 20] by Demod 539 with 19 at 1,2
% 25.21/6.62 Id : 513, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) identity =>= ?4 [4, 3, 2] by Demod 21 with 491 at 2,2
% 25.21/6.62 Id : 541, {_}: inverse (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) =>= ?4 [4, 3, 2] by Demod 513 with 4 at 2
% 25.21/6.62 Id : 542, {_}: multiply (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3)) ?2 =>= ?4 [4, 2, 3] by Demod 541 with 19 at 2
% 25.21/6.62 Id : 543, {_}: inverse (multiply ?17 (double_divide ?17 ?18)) =>= ?18 [18, 17] by Demod 540 with 542 at 1,1,2
% 25.21/6.62 Id : 710, {_}: inverse (inverse (multiply ?1247 (double_divide ?1247 ?1248))) =>= inverse (inverse (inverse ?1248)) [1248, 1247] by Super 708 with 543 at 1,1,1,3
% 25.21/6.62 Id : 736, {_}: inverse ?1299 =<= inverse (inverse (inverse ?1299)) [1299] by Demod 710 with 543 at 1,2
% 25.21/6.62 Id : 738, {_}: inverse (multiply ?1302 (double_divide ?1302 ?1303)) =>= inverse (inverse ?1303) [1303, 1302] by Super 736 with 543 at 1,1,3
% 25.21/6.62 Id : 762, {_}: ?1352 =<= inverse (inverse ?1352) [1352] by Demod 738 with 543 at 2
% 25.21/6.62 Id : 765, {_}: double_divide ?1358 ?1359 =>= inverse (multiply ?1359 ?1358) [1359, 1358] by Super 762 with 19 at 1,3
% 25.21/6.62 Id : 773, {_}: multiply (inverse (multiply (inverse ?73) identity)) ?72 =?= multiply ?72 ?73 [72, 73] by Demod 545 with 765 at 1,2
% 25.21/6.62 Id : 746, {_}: ?1303 =<= inverse (inverse ?1303) [1303] by Demod 738 with 543 at 2
% 25.21/6.62 Id : 749, {_}: ?417 =<= multiply ?417 identity [417] by Demod 525 with 746 at 2
% 25.21/6.62 Id : 811, {_}: multiply (inverse (inverse ?73)) ?72 =?= multiply ?72 ?73 [72, 73] by Demod 773 with 749 at 1,1,2
% 25.21/6.62 Id : 812, {_}: multiply ?73 ?72 =?= multiply ?72 ?73 [72, 73] by Demod 811 with 746 at 1,2
% 25.21/6.62 Id : 527, {_}: inverse (inverse (inverse ?571)) =<= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 452 with 525 at 2
% 25.21/6.62 Id : 721, {_}: inverse ?1248 =<= inverse (inverse (inverse ?1248)) [1248] by Demod 710 with 543 at 1,2
% 25.21/6.62 Id : 724, {_}: inverse ?571 =<= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 527 with 721 at 2
% 25.21/6.62 Id : 797, {_}: inverse ?571 =<= inverse (multiply (inverse ?572) (multiply ?572 ?571)) [572, 571] by Demod 724 with 765 at 3
% 25.21/6.62 Id : 509, {_}: double_divide (double_divide ?26 ?27) identity =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 27, 26] by Demod 209 with 491 at 2,2
% 25.21/6.62 Id : 550, {_}: inverse (double_divide ?26 ?27) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 27, 26] by Demod 509 with 4 at 2
% 25.21/6.62 Id : 551, {_}: multiply ?27 ?26 =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 26, 27] by Demod 550 with 19 at 2
% 25.21/6.62 Id : 769, {_}: multiply ?27 ?26 =<= inverse (multiply (inverse ?28) (double_divide (double_divide ?28 (double_divide identity ?26)) ?27)) [28, 26, 27] by Demod 551 with 765 at 3
% 25.21/6.62 Id : 770, {_}: multiply ?27 ?26 =<= inverse (multiply (inverse ?28) (inverse (multiply ?27 (double_divide ?28 (double_divide identity ?26))))) [28, 26, 27] by Demod 769 with 765 at 2,1,3
% 25.21/6.62 Id : 771, {_}: multiply ?27 ?26 =<= inverse (multiply (inverse ?28) (inverse (multiply ?27 (inverse (multiply (double_divide identity ?26) ?28))))) [28, 26, 27] by Demod 770 with 765 at 2,1,2,1,3
% 25.21/6.62 Id : 772, {_}: multiply ?27 ?26 =<= inverse (multiply (inverse ?28) (inverse (multiply ?27 (inverse (multiply (inverse (multiply ?26 identity)) ?28))))) [28, 26, 27] by Demod 771 with 765 at 1,1,2,1,2,1,3
% 25.21/6.62 Id : 816, {_}: multiply ?27 ?26 =<= inverse (multiply (inverse ?28) (inverse (multiply ?27 (inverse (multiply (inverse ?26) ?28))))) [28, 26, 27] by Demod 772 with 749 at 1,1,1,2,1,2,1,3
% 25.21/6.62 Id : 764, {_}: multiply ?1355 (double_divide ?1355 ?1356) =>= inverse ?1356 [1356, 1355] by Super 762 with 543 at 1,3
% 25.21/6.62 Id : 863, {_}: multiply ?1355 (inverse (multiply ?1356 ?1355)) =>= inverse ?1356 [1356, 1355] by Demod 764 with 765 at 2,2
% 25.21/6.62 Id : 867, {_}: multiply ?1375 ?1376 =<= inverse (multiply (inverse ?1375) (inverse (inverse (inverse ?1376)))) [1376, 1375] by Super 816 with 863 at 1,2,1,3
% 25.21/6.62 Id : 965, {_}: multiply ?1528 ?1529 =<= inverse (multiply (inverse ?1528) (inverse ?1529)) [1529, 1528] by Demod 867 with 746 at 2,1,3
% 25.21/6.62 Id : 971, {_}: multiply (inverse ?1546) ?1547 =>= inverse (multiply ?1546 (inverse ?1547)) [1547, 1546] by Super 965 with 746 at 1,1,3
% 25.21/6.62 Id : 1092, {_}: inverse ?571 =<= inverse (inverse (multiply ?572 (inverse (multiply ?572 ?571)))) [572, 571] by Demod 797 with 971 at 1,3
% 25.21/6.62 Id : 1093, {_}: inverse ?571 =<= multiply ?572 (inverse (multiply ?572 ?571)) [572, 571] by Demod 1092 with 746 at 3
% 25.21/6.62 Id : 924, {_}: multiply ?1375 ?1376 =<= inverse (multiply (inverse ?1375) (inverse ?1376)) [1376, 1375] by Demod 867 with 746 at 2,1,3
% 25.21/6.62 Id : 948, {_}: multiply ?27 ?26 =<= multiply ?28 (multiply ?27 (inverse (multiply (inverse ?26) ?28))) [28, 26, 27] by Demod 816 with 924 at 3
% 25.21/6.62 Id : 952, {_}: multiply ?1475 ?1476 =<= multiply (inverse ?1477) (multiply ?1475 (multiply ?1476 ?1477)) [1477, 1476, 1475] by Super 948 with 924 at 2,2,3
% 25.21/6.62 Id : 1612, {_}: multiply ?1475 ?1476 =<= inverse (multiply ?1477 (inverse (multiply ?1475 (multiply ?1476 ?1477)))) [1477, 1476, 1475] by Demod 952 with 971 at 3
% 25.21/6.62 Id : 1616, {_}: inverse (inverse (multiply ?1996 (multiply ?1997 ?1998))) =?= multiply ?1998 (multiply ?1996 ?1997) [1998, 1997, 1996] by Super 1093 with 1612 at 2,3
% 25.21/6.62 Id : 1658, {_}: multiply ?1996 (multiply ?1997 ?1998) =?= multiply ?1998 (multiply ?1996 ?1997) [1998, 1997, 1996] by Demod 1616 with 746 at 2
% 25.21/6.62 Id : 9677, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 9676 with 1658 at 2
% 25.21/6.62 Id : 9676, {_}: multiply b3 (multiply c3 a3) =>= multiply a3 (multiply b3 c3) [] by Demod 9675 with 1658 at 2
% 25.21/6.62 Id : 9675, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 812 at 2
% 25.21/6.62 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 25.21/6.62 % SZS output end CNFRefutation for theBenchmark.p
% 25.21/6.62 4162: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 6.284294 using lpo
%------------------------------------------------------------------------------