TSTP Solution File: KLE090-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n014.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 : Sun Jul 17 02:14:05 EDT 2022
% Result : Unsatisfiable 7.12s 2.12s
% Output : CNFRefutation 7.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE090-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n014.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 : Thu Jun 16 14:02:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 11069: Facts:
% 0.13/0.35 11069: Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.13/0.35 11069: Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.13/0.35 11069: Id : 4, {_}:
% 0.13/0.35 addition ?10 ?11 =?= addition ?11 ?10
% 0.13/0.35 [11, 10] by additive_commutativity ?10 ?11
% 0.13/0.35 11069: Id : 5, {_}:
% 0.13/0.35 addition ?13 (addition ?14 ?15) =?= addition (addition ?13 ?14) ?15
% 0.13/0.35 [15, 14, 13] by additive_associativity ?13 ?14 ?15
% 0.13/0.35 11069: Id : 6, {_}: addition ?17 zero =>= ?17 [17] by additive_identity ?17
% 0.13/0.35 11069: Id : 7, {_}: addition ?19 ?19 =>= ?19 [19] by additive_idempotence ?19
% 0.13/0.35 11069: Id : 8, {_}:
% 0.13/0.35 multiplication ?21 (multiplication ?22 ?23)
% 0.13/0.35 =?=
% 0.13/0.35 multiplication (multiplication ?21 ?22) ?23
% 0.13/0.35 [23, 22, 21] by multiplicative_associativity ?21 ?22 ?23
% 0.13/0.35 11069: Id : 9, {_}:
% 0.13/0.35 multiplication ?25 one =>= ?25
% 0.13/0.35 [25] by multiplicative_right_identity ?25
% 0.13/0.35 11069: Id : 10, {_}:
% 0.13/0.35 multiplication one ?27 =>= ?27
% 0.13/0.35 [27] by multiplicative_left_identity ?27
% 0.13/0.35 11069: Id : 11, {_}:
% 0.13/0.35 multiplication ?29 (addition ?30 ?31)
% 0.13/0.35 =<=
% 0.13/0.35 addition (multiplication ?29 ?30) (multiplication ?29 ?31)
% 0.13/0.35 [31, 30, 29] by right_distributivity ?29 ?30 ?31
% 0.13/0.35 11069: Id : 12, {_}:
% 0.13/0.35 multiplication (addition ?33 ?34) ?35
% 0.13/0.35 =<=
% 0.13/0.35 addition (multiplication ?33 ?35) (multiplication ?34 ?35)
% 0.13/0.35 [35, 34, 33] by left_distributivity ?33 ?34 ?35
% 0.13/0.35 11069: Id : 13, {_}: multiplication ?37 zero =>= zero [37] by right_annihilation ?37
% 0.13/0.35 11069: Id : 14, {_}: multiplication zero ?39 =>= zero [39] by left_annihilation ?39
% 0.13/0.35 11069: Id : 15, {_}:
% 0.13/0.35 ifeq (leq ?41 ?42) true (addition ?41 ?42) ?42 =>= ?42
% 0.13/0.35 [42, 41] by order_1 ?41 ?42
% 0.13/0.35 11069: Id : 16, {_}:
% 0.13/0.35 ifeq2 (addition ?44 ?45) ?45 (leq ?44 ?45) true =>= true
% 0.13/0.35 [45, 44] by order ?44 ?45
% 0.13/0.35 11069: Id : 17, {_}: multiplication (antidomain ?47) ?47 =>= zero [47] by domain1 ?47
% 0.13/0.35 11069: Id : 18, {_}:
% 0.13/0.35 addition (antidomain (multiplication ?49 ?50))
% 0.13/0.35 (antidomain (multiplication ?49 (antidomain (antidomain ?50))))
% 0.13/0.35 =>=
% 0.13/0.35 antidomain (multiplication ?49 (antidomain (antidomain ?50)))
% 0.13/0.35 [50, 49] by domain2 ?49 ?50
% 0.13/0.35 11069: Id : 19, {_}:
% 0.13/0.35 addition (antidomain (antidomain ?52)) (antidomain ?52) =>= one
% 0.13/0.35 [52] by domain3 ?52
% 0.13/0.35 11069: Id : 20, {_}: domain ?54 =<= antidomain (antidomain ?54) [54] by domain4 ?54
% 0.13/0.35 11069: Id : 21, {_}:
% 0.13/0.35 multiplication ?56 (coantidomain ?56) =>= zero
% 0.13/0.35 [56] by codomain1 ?56
% 0.13/0.35 11069: Id : 22, {_}:
% 0.13/0.35 addition (coantidomain (multiplication ?58 ?59))
% 0.13/0.35 (coantidomain
% 0.13/0.35 (multiplication (coantidomain (coantidomain ?58)) ?59))
% 0.13/0.35 =>=
% 0.13/0.35 coantidomain (multiplication (coantidomain (coantidomain ?58)) ?59)
% 0.13/0.35 [59, 58] by codomain2 ?58 ?59
% 0.13/0.35 11069: Id : 23, {_}:
% 0.13/0.35 addition (coantidomain (coantidomain ?61)) (coantidomain ?61) =>= one
% 0.13/0.35 [61] by codomain3 ?61
% 0.13/0.35 11069: Id : 24, {_}:
% 0.13/0.35 codomain ?63 =<= coantidomain (coantidomain ?63)
% 0.13/0.35 [63] by codomain4 ?63
% 0.13/0.35 11069: Id : 25, {_}: addition sK2_goals_X0 sK1_goals_X1 =>= sK1_goals_X1 [] by goals
% 0.13/0.35 11069: Goal:
% 0.13/0.35 11069: Id : 1, {_}:
% 0.13/0.35 addition (antidomain sK1_goals_X1) (antidomain sK2_goals_X0)
% 0.13/0.35 =>=
% 0.13/0.35 antidomain sK2_goals_X0
% 0.13/0.35 [] by goals_1
% 7.12/2.12 Statistics :
% 7.12/2.12 Max weight : 19
% 7.12/2.12 Found proof, 1.769304s
% 7.12/2.12 % SZS status Unsatisfiable for theBenchmark.p
% 7.12/2.12 % SZS output start CNFRefutation for theBenchmark.p
% 7.12/2.12 Id : 25, {_}: addition sK2_goals_X0 sK1_goals_X1 =>= sK1_goals_X1 [] by goals
% 7.12/2.12 Id : 18, {_}: addition (antidomain (multiplication ?49 ?50)) (antidomain (multiplication ?49 (antidomain (antidomain ?50)))) =>= antidomain (multiplication ?49 (antidomain (antidomain ?50))) [50, 49] by domain2 ?49 ?50
% 7.12/2.12 Id : 9, {_}: multiplication ?25 one =>= ?25 [25] by multiplicative_right_identity ?25
% 7.12/2.12 Id : 7, {_}: addition ?19 ?19 =>= ?19 [19] by additive_idempotence ?19
% 7.12/2.12 Id : 5, {_}: addition ?13 (addition ?14 ?15) =<= addition (addition ?13 ?14) ?15 [15, 14, 13] by additive_associativity ?13 ?14 ?15
% 7.12/2.12 Id : 23, {_}: addition (coantidomain (coantidomain ?61)) (coantidomain ?61) =>= one [61] by codomain3 ?61
% 7.12/2.12 Id : 298, {_}: domain ?503 =<= antidomain (antidomain ?503) [503] by domain4 ?503
% 7.12/2.12 Id : 20, {_}: domain ?54 =<= antidomain (antidomain ?54) [54] by domain4 ?54
% 7.12/2.12 Id : 19, {_}: addition (antidomain (antidomain ?52)) (antidomain ?52) =>= one [52] by domain3 ?52
% 7.12/2.12 Id : 6, {_}: addition ?17 zero =>= ?17 [17] by additive_identity ?17
% 7.12/2.12 Id : 12, {_}: multiplication (addition ?33 ?34) ?35 =<= addition (multiplication ?33 ?35) (multiplication ?34 ?35) [35, 34, 33] by left_distributivity ?33 ?34 ?35
% 7.12/2.12 Id : 14, {_}: multiplication zero ?39 =>= zero [39] by left_annihilation ?39
% 7.12/2.12 Id : 17, {_}: multiplication (antidomain ?47) ?47 =>= zero [47] by domain1 ?47
% 7.12/2.12 Id : 8, {_}: multiplication ?21 (multiplication ?22 ?23) =<= multiplication (multiplication ?21 ?22) ?23 [23, 22, 21] by multiplicative_associativity ?21 ?22 ?23
% 7.12/2.12 Id : 24, {_}: codomain ?63 =<= coantidomain (coantidomain ?63) [63] by codomain4 ?63
% 7.12/2.12 Id : 22, {_}: addition (coantidomain (multiplication ?58 ?59)) (coantidomain (multiplication (coantidomain (coantidomain ?58)) ?59)) =>= coantidomain (multiplication (coantidomain (coantidomain ?58)) ?59) [59, 58] by codomain2 ?58 ?59
% 7.12/2.12 Id : 21, {_}: multiplication ?56 (coantidomain ?56) =>= zero [56] by codomain1 ?56
% 7.12/2.12 Id : 11, {_}: multiplication ?29 (addition ?30 ?31) =<= addition (multiplication ?29 ?30) (multiplication ?29 ?31) [31, 30, 29] by right_distributivity ?29 ?30 ?31
% 7.12/2.12 Id : 10, {_}: multiplication one ?27 =>= ?27 [27] by multiplicative_left_identity ?27
% 7.12/2.12 Id : 133, {_}: multiplication (addition ?277 ?278) ?279 =<= addition (multiplication ?277 ?279) (multiplication ?278 ?279) [279, 278, 277] by left_distributivity ?277 ?278 ?279
% 7.12/2.12 Id : 4, {_}: addition ?10 ?11 =?= addition ?11 ?10 [11, 10] by additive_commutativity ?10 ?11
% 7.12/2.12 Id : 138, {_}: multiplication (addition one ?295) ?296 =?= addition ?296 (multiplication ?295 ?296) [296, 295] by Super 133 with 10 at 1,3
% 7.12/2.12 Id : 367, {_}: addition (coantidomain (multiplication ?58 ?59)) (coantidomain (multiplication (codomain ?58) ?59)) =>= coantidomain (multiplication (coantidomain (coantidomain ?58)) ?59) [59, 58] by Demod 22 with 24 at 1,1,2,2
% 7.12/2.12 Id : 368, {_}: addition (coantidomain (multiplication ?58 ?59)) (coantidomain (multiplication (codomain ?58) ?59)) =>= coantidomain (multiplication (codomain ?58) ?59) [59, 58] by Demod 367 with 24 at 1,1,3
% 7.12/2.12 Id : 234, {_}: multiplication (antidomain ?430) (multiplication ?430 ?431) =>= multiplication zero ?431 [431, 430] by Super 8 with 17 at 1,3
% 7.12/2.12 Id : 242, {_}: multiplication (antidomain ?430) (multiplication ?430 ?431) =>= zero [431, 430] by Demod 234 with 14 at 3
% 7.12/2.12 Id : 236, {_}: multiplication (addition (antidomain ?436) ?437) ?436 =>= addition zero (multiplication ?437 ?436) [437, 436] by Super 12 with 17 at 1,3
% 7.12/2.12 Id : 51, {_}: addition zero ?130 =>= ?130 [130] by Super 4 with 6 at 3
% 7.12/2.12 Id : 4293, {_}: multiplication (addition (antidomain ?5331) ?5332) ?5331 =>= multiplication ?5332 ?5331 [5332, 5331] by Demod 236 with 51 at 3
% 7.12/2.12 Id : 6201, {_}: multiplication (addition ?7237 (antidomain ?7238)) ?7238 =>= multiplication ?7237 ?7238 [7238, 7237] by Super 4293 with 4 at 1,2
% 7.12/2.12 Id : 282, {_}: addition (antidomain ?52) (antidomain (antidomain ?52)) =>= one [52] by Demod 19 with 4 at 2
% 7.12/2.12 Id : 292, {_}: addition (antidomain ?52) (domain ?52) =>= one [52] by Demod 282 with 20 at 2,2
% 7.12/2.12 Id : 295, {_}: addition (domain ?52) (antidomain ?52) =>= one [52] by Demod 292 with 4 at 2
% 7.12/2.12 Id : 6214, {_}: multiplication one ?7274 =<= multiplication (domain ?7274) ?7274 [7274] by Super 6201 with 295 at 1,2
% 7.12/2.12 Id : 6255, {_}: ?7274 =<= multiplication (domain ?7274) ?7274 [7274] by Demod 6214 with 10 at 2
% 7.12/2.12 Id : 6277, {_}: multiplication (antidomain (domain ?7342)) ?7342 =>= zero [7342] by Super 242 with 6255 at 2,2
% 7.12/2.12 Id : 299, {_}: domain (antidomain ?505) =<= antidomain (domain ?505) [505] by Super 298 with 20 at 1,3
% 7.12/2.12 Id : 6292, {_}: multiplication (domain (antidomain ?7342)) ?7342 =>= zero [7342] by Demod 6277 with 299 at 1,2
% 7.12/2.12 Id : 6495, {_}: addition (coantidomain zero) (coantidomain (multiplication (codomain (domain (antidomain ?7469))) ?7469)) =>= coantidomain (multiplication (codomain (domain (antidomain ?7469))) ?7469) [7469] by Super 368 with 6292 at 1,1,2
% 7.12/2.12 Id : 307, {_}: zero =<= coantidomain one [] by Super 10 with 21 at 2
% 7.12/2.12 Id : 398, {_}: codomain one =<= coantidomain zero [] by Super 24 with 307 at 1,3
% 7.12/2.12 Id : 356, {_}: addition (coantidomain ?61) (coantidomain (coantidomain ?61)) =>= one [61] by Demod 23 with 4 at 2
% 7.12/2.12 Id : 366, {_}: addition (coantidomain ?61) (codomain ?61) =>= one [61] by Demod 356 with 24 at 2,2
% 7.12/2.12 Id : 369, {_}: addition (codomain ?61) (coantidomain ?61) =>= one [61] by Demod 366 with 4 at 2
% 7.12/2.12 Id : 397, {_}: addition (codomain one) zero =>= one [] by Super 369 with 307 at 2,2
% 7.12/2.12 Id : 401, {_}: addition zero (codomain one) =>= one [] by Demod 397 with 4 at 2
% 7.12/2.12 Id : 750, {_}: codomain one =>= one [] by Demod 401 with 51 at 2
% 7.12/2.12 Id : 751, {_}: one =<= coantidomain zero [] by Demod 398 with 750 at 2
% 7.12/2.12 Id : 6551, {_}: addition one (coantidomain (multiplication (codomain (domain (antidomain ?7469))) ?7469)) =>= coantidomain (multiplication (codomain (domain (antidomain ?7469))) ?7469) [7469] by Demod 6495 with 751 at 1,2
% 7.12/2.12 Id : 451, {_}: addition ?696 (addition ?697 ?698) =?= addition ?697 (addition ?698 ?696) [698, 697, 696] by Super 4 with 5 at 3
% 7.12/2.12 Id : 1286, {_}: addition ?1790 (addition ?1791 ?1790) =>= addition ?1791 ?1790 [1791, 1790] by Super 451 with 7 at 2,3
% 7.12/2.12 Id : 1299, {_}: addition (coantidomain ?1824) one =>= addition (codomain ?1824) (coantidomain ?1824) [1824] by Super 1286 with 369 at 2,2
% 7.12/2.12 Id : 1362, {_}: addition one (coantidomain ?1824) =<= addition (codomain ?1824) (coantidomain ?1824) [1824] by Demod 1299 with 4 at 2
% 7.12/2.12 Id : 1363, {_}: addition one (coantidomain ?1824) =>= one [1824] by Demod 1362 with 369 at 3
% 7.12/2.12 Id : 6552, {_}: one =<= coantidomain (multiplication (codomain (domain (antidomain ?7469))) ?7469) [7469] by Demod 6551 with 1363 at 2
% 7.12/2.12 Id : 7201, {_}: multiplication (domain ?8241) (addition ?8241 ?8242) =<= addition ?8241 (multiplication (domain ?8241) ?8242) [8242, 8241] by Super 11 with 6255 at 1,3
% 7.12/2.12 Id : 587, {_}: multiplication (domain (antidomain ?915)) (domain ?915) =>= zero [915] by Super 17 with 299 at 1,2
% 7.12/2.12 Id : 7215, {_}: multiplication (domain (antidomain ?8280)) (addition (antidomain ?8280) (domain ?8280)) =>= addition (antidomain ?8280) zero [8280] by Super 7201 with 587 at 2,3
% 7.12/2.12 Id : 95, {_}: addition (multiplication ?209 ?210) (multiplication ?209 ?211) =?= multiplication ?209 (addition ?211 ?210) [211, 210, 209] by Super 4 with 11 at 3
% 7.12/2.12 Id : 108, {_}: multiplication ?209 (addition ?210 ?211) =?= multiplication ?209 (addition ?211 ?210) [211, 210, 209] by Demod 95 with 11 at 2
% 7.12/2.12 Id : 7334, {_}: multiplication (domain (antidomain ?8280)) (addition (domain ?8280) (antidomain ?8280)) =<= addition (antidomain ?8280) zero [8280] by Demod 7215 with 108 at 2
% 7.12/2.12 Id : 7335, {_}: multiplication (domain (antidomain ?8280)) (addition (domain ?8280) (antidomain ?8280)) =>= addition zero (antidomain ?8280) [8280] by Demod 7334 with 4 at 3
% 7.12/2.12 Id : 7336, {_}: multiplication (domain (antidomain ?8280)) one =<= addition zero (antidomain ?8280) [8280] by Demod 7335 with 295 at 2,2
% 7.12/2.12 Id : 7337, {_}: multiplication (domain (antidomain ?8280)) one =>= antidomain ?8280 [8280] by Demod 7336 with 51 at 3
% 7.12/2.12 Id : 7338, {_}: domain (antidomain ?8280) =>= antidomain ?8280 [8280] by Demod 7337 with 9 at 2
% 7.12/2.12 Id : 8403, {_}: one =<= coantidomain (multiplication (codomain (antidomain ?7469)) ?7469) [7469] by Demod 6552 with 7338 at 1,1,1,3
% 7.12/2.12 Id : 8415, {_}: multiplication (multiplication (codomain (antidomain ?9566)) ?9566) one =>= zero [9566] by Super 21 with 8403 at 2,2
% 7.12/2.12 Id : 8460, {_}: multiplication (codomain (antidomain ?9566)) ?9566 =>= zero [9566] by Demod 8415 with 9 at 2
% 7.12/2.12 Id : 293, {_}: addition (antidomain (multiplication ?49 ?50)) (antidomain (multiplication ?49 (domain ?50))) =<= antidomain (multiplication ?49 (antidomain (antidomain ?50))) [50, 49] by Demod 18 with 20 at 2,1,2,2
% 7.12/2.12 Id : 294, {_}: addition (antidomain (multiplication ?49 ?50)) (antidomain (multiplication ?49 (domain ?50))) =>= antidomain (multiplication ?49 (domain ?50)) [50, 49] by Demod 293 with 20 at 2,1,3
% 7.12/2.12 Id : 6497, {_}: multiplication (domain (antidomain ?7472)) (addition ?7473 ?7472) =<= addition (multiplication (domain (antidomain ?7472)) ?7473) zero [7473, 7472] by Super 11 with 6292 at 2,3
% 7.12/2.12 Id : 6548, {_}: multiplication (domain (antidomain ?7472)) (addition ?7473 ?7472) =?= addition zero (multiplication (domain (antidomain ?7472)) ?7473) [7473, 7472] by Demod 6497 with 4 at 3
% 7.12/2.12 Id : 6549, {_}: multiplication (domain (antidomain ?7472)) (addition ?7473 ?7472) =>= multiplication (domain (antidomain ?7472)) ?7473 [7473, 7472] by Demod 6548 with 51 at 3
% 7.12/2.12 Id : 27804, {_}: multiplication (antidomain ?7472) (addition ?7473 ?7472) =?= multiplication (domain (antidomain ?7472)) ?7473 [7473, 7472] by Demod 6549 with 7338 at 1,2
% 7.12/2.12 Id : 27840, {_}: multiplication (antidomain ?27273) (addition ?27274 ?27273) =>= multiplication (antidomain ?27273) ?27274 [27274, 27273] by Demod 27804 with 7338 at 1,3
% 7.12/2.12 Id : 27844, {_}: multiplication (antidomain sK1_goals_X1) sK1_goals_X1 =>= multiplication (antidomain sK1_goals_X1) sK2_goals_X0 [] by Super 27840 with 25 at 2,2
% 7.12/2.12 Id : 28001, {_}: zero =<= multiplication (antidomain sK1_goals_X1) sK2_goals_X0 [] by Demod 27844 with 17 at 2
% 7.12/2.12 Id : 28099, {_}: addition (antidomain zero) (antidomain (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0))) =>= antidomain (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0)) [] by Super 294 with 28001 at 1,1,2
% 7.12/2.12 Id : 233, {_}: zero =<= antidomain one [] by Super 9 with 17 at 2
% 7.12/2.12 Id : 389, {_}: domain one =<= antidomain zero [] by Super 20 with 233 at 1,3
% 7.12/2.12 Id : 388, {_}: addition (domain one) zero =>= one [] by Super 295 with 233 at 2,2
% 7.12/2.12 Id : 392, {_}: addition zero (domain one) =>= one [] by Demod 388 with 4 at 2
% 7.12/2.12 Id : 605, {_}: domain one =>= one [] by Demod 392 with 51 at 2
% 7.12/2.12 Id : 606, {_}: one =<= antidomain zero [] by Demod 389 with 605 at 2
% 7.12/2.12 Id : 28125, {_}: addition one (antidomain (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0))) =>= antidomain (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0)) [] by Demod 28099 with 606 at 1,2
% 7.12/2.12 Id : 1296, {_}: addition (antidomain ?1817) one =>= addition (domain ?1817) (antidomain ?1817) [1817] by Super 1286 with 295 at 2,2
% 7.12/2.12 Id : 1355, {_}: addition one (antidomain ?1817) =<= addition (domain ?1817) (antidomain ?1817) [1817] by Demod 1296 with 4 at 2
% 7.12/2.12 Id : 1356, {_}: addition one (antidomain ?1817) =>= one [1817] by Demod 1355 with 295 at 3
% 7.12/2.12 Id : 28126, {_}: one =<= antidomain (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0)) [] by Demod 28125 with 1356 at 2
% 7.12/2.12 Id : 28268, {_}: multiplication (codomain one) (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0)) =>= zero [] by Super 8460 with 28126 at 1,1,2
% 7.12/2.12 Id : 28316, {_}: multiplication one (multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0)) =>= zero [] by Demod 28268 with 750 at 1,2
% 7.12/2.12 Id : 28317, {_}: multiplication (antidomain sK1_goals_X1) (domain sK2_goals_X0) =>= zero [] by Demod 28316 with 10 at 2
% 7.12/2.12 Id : 28414, {_}: multiplication (antidomain sK1_goals_X1) (addition (domain sK2_goals_X0) ?27761) =?= addition zero (multiplication (antidomain sK1_goals_X1) ?27761) [27761] by Super 11 with 28317 at 1,3
% 7.12/2.12 Id : 32480, {_}: multiplication (antidomain sK1_goals_X1) (addition (domain sK2_goals_X0) ?31133) =>= multiplication (antidomain sK1_goals_X1) ?31133 [31133] by Demod 28414 with 51 at 3
% 7.12/2.12 Id : 32487, {_}: multiplication (antidomain sK1_goals_X1) one =<= multiplication (antidomain sK1_goals_X1) (antidomain sK2_goals_X0) [] by Super 32480 with 295 at 2,2
% 7.12/2.12 Id : 32567, {_}: antidomain sK1_goals_X1 =<= multiplication (antidomain sK1_goals_X1) (antidomain sK2_goals_X0) [] by Demod 32487 with 9 at 2
% 7.12/2.12 Id : 32630, {_}: multiplication (addition one (antidomain sK1_goals_X1)) (antidomain sK2_goals_X0) =<= addition (antidomain sK2_goals_X0) (antidomain sK1_goals_X1) [] by Super 138 with 32567 at 2,3
% 7.12/2.12 Id : 32637, {_}: multiplication one (antidomain sK2_goals_X0) =<= addition (antidomain sK2_goals_X0) (antidomain sK1_goals_X1) [] by Demod 32630 with 1356 at 1,2
% 7.12/2.12 Id : 32638, {_}: antidomain sK2_goals_X0 =<= addition (antidomain sK2_goals_X0) (antidomain sK1_goals_X1) [] by Demod 32637 with 10 at 2
% 7.12/2.12 Id : 32725, {_}: antidomain sK2_goals_X0 === antidomain sK2_goals_X0 [] by Demod 32724 with 32638 at 2
% 7.12/2.12 Id : 32724, {_}: addition (antidomain sK2_goals_X0) (antidomain sK1_goals_X1) =>= antidomain sK2_goals_X0 [] by Demod 1 with 4 at 2
% 7.12/2.12 Id : 1, {_}: addition (antidomain sK1_goals_X1) (antidomain sK2_goals_X0) =>= antidomain sK2_goals_X0 [] by goals_1
% 7.12/2.12 % SZS output end CNFRefutation for theBenchmark.p
% 7.12/2.12 11071: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.77462 using lpo
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