TSTP Solution File: GRP569-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP569-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n009.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 10:30:49 EDT 2022
% Result : Unsatisfiable 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP569-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 17:59:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 24471: Facts:
% 0.11/0.33 24471: Id : 2, {_}:
% 0.11/0.33 double_divide
% 0.11/0.33 (double_divide ?2
% 0.11/0.33 (double_divide (double_divide ?3 (double_divide ?2 ?4))
% 0.11/0.33 (double_divide ?4 identity))) (double_divide identity identity)
% 0.11/0.33 =>=
% 0.11/0.33 ?3
% 0.11/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.33 24471: Id : 3, {_}:
% 0.11/0.33 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.11/0.33 [7, 6] by multiply ?6 ?7
% 0.11/0.33 24471: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.11/0.33 24471: Id : 5, {_}:
% 0.11/0.33 identity =<= double_divide ?11 (inverse ?11)
% 0.11/0.33 [11] by identity ?11
% 0.11/0.33 24471: Goal:
% 0.11/0.33 24471: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.11/0.35 Statistics :
% 0.11/0.35 Max weight : 20
% 0.11/0.35 Found proof, 0.014989s
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.11/0.35 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (double_divide ?4 identity))) (double_divide identity identity) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.35 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.11/0.35 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.11/0.35 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.11/0.35 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.11/0.35 Id : 24, {_}: multiply (inverse ?62) ?62 =>= inverse identity [62] by Super 16 with 5 at 1,3
% 0.11/0.35 Id : 17, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (inverse ?4))) (double_divide identity identity) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.11/0.35 Id : 18, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?2 ?4)) (inverse ?4))) (inverse identity) =>= ?3 [4, 3, 2] by Demod 17 with 4 at 2,2
% 0.11/0.35 Id : 189, {_}: double_divide (double_divide ?281 (double_divide (double_divide ?282 (inverse ?281)) (inverse identity))) (inverse identity) =>= ?282 [282, 281] by Super 18 with 4 at 2,1,2,1,2
% 0.11/0.35 Id : 23, {_}: double_divide (double_divide ?59 (double_divide (double_divide ?60 identity) (inverse (inverse ?59)))) (inverse identity) =>= ?60 [60, 59] by Super 18 with 5 at 2,1,2,1,2
% 0.11/0.35 Id : 90, {_}: double_divide (double_divide ?144 (double_divide (inverse ?145) (inverse (inverse ?144)))) (inverse identity) =>= ?145 [145, 144] by Demod 23 with 4 at 1,2,1,2
% 0.11/0.35 Id : 93, {_}: double_divide (double_divide ?155 identity) (inverse identity) =>= ?155 [155] by Super 90 with 5 at 2,1,2
% 0.11/0.35 Id : 95, {_}: double_divide (inverse ?155) (inverse identity) =>= ?155 [155] by Demod 93 with 4 at 1,2
% 0.11/0.35 Id : 209, {_}: double_divide (double_divide identity (double_divide ?322 (inverse identity))) (inverse identity) =>= inverse ?322 [322] by Super 189 with 95 at 1,2,1,2
% 0.11/0.35 Id : 216, {_}: double_divide (double_divide identity identity) (inverse identity) =>= inverse identity [] by Super 209 with 5 at 2,1,2
% 0.11/0.35 Id : 228, {_}: double_divide (inverse identity) (inverse identity) =>= inverse identity [] by Demod 216 with 4 at 1,2
% 0.11/0.35 Id : 229, {_}: identity =<= inverse identity [] by Demod 228 with 95 at 2
% 0.11/0.35 Id : 240, {_}: multiply (inverse ?62) ?62 =>= identity [62] by Demod 24 with 229 at 3
% 0.11/0.35 Id : 290, {_}: identity === identity [] by Demod 1 with 240 at 2
% 0.11/0.35 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.35 24474: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.016411 using nrkbo
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