TSTP Solution File: GRP566-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP566-1 : 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 10:30:48 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP566-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n011.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 : Tue Jun 14 01:34:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 25269: Facts:
% 0.13/0.35 25269: 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 25269: 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 25269: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 25269: Id : 5, {_}:
% 0.13/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.35 [11] by identity ?11
% 0.13/0.35 25269: Goal:
% 0.13/0.35 25269: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.37 Statistics :
% 0.13/0.37 Max weight : 20
% 0.13/0.37 Found proof, 0.022676s
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.37 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.13/0.37 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
% 0.13/0.37 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.37 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.13/0.37 Id : 15, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.13/0.37 Id : 17, {_}: multiply identity ?45 =>= inverse (inverse ?45) [45] by Super 15 with 4 at 1,3
% 0.13/0.37 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
% 0.13/0.37 Id : 18, {_}: double_divide (double_divide ?47 (double_divide (double_divide ?48 (double_divide ?47 identity)) (inverse identity))) (inverse identity) =>= ?48 [48, 47] by Super 16 with 4 at 2,2,1,2
% 0.13/0.37 Id : 204, {_}: double_divide (double_divide ?306 (double_divide (double_divide ?307 (inverse ?306)) (inverse identity))) (inverse identity) =>= ?307 [307, 306] by Demod 18 with 4 at 2,1,2,1,2
% 0.13/0.37 Id : 211, {_}: double_divide (double_divide ?328 (double_divide identity (inverse identity))) (inverse identity) =>= ?328 [328] by Super 204 with 5 at 1,2,1,2
% 0.13/0.37 Id : 218, {_}: double_divide (double_divide ?328 identity) (inverse identity) =>= ?328 [328] by Demod 211 with 5 at 2,1,2
% 0.13/0.37 Id : 219, {_}: double_divide (inverse ?328) (inverse identity) =>= ?328 [328] by Demod 218 with 4 at 1,2
% 0.13/0.37 Id : 24, {_}: double_divide (double_divide ?57 (double_divide (double_divide ?58 (double_divide ?57 (inverse identity))) identity)) (inverse identity) =>= ?58 [58, 57] by Super 16 with 5 at 2,2,1,2
% 0.13/0.37 Id : 30, {_}: double_divide (double_divide ?57 (inverse (double_divide ?58 (double_divide ?57 (inverse identity))))) (inverse identity) =>= ?58 [58, 57] by Demod 24 with 4 at 2,1,2
% 0.13/0.37 Id : 95, {_}: double_divide (double_divide ?145 (multiply (double_divide ?145 (inverse identity)) ?146)) (inverse identity) =>= ?146 [146, 145] by Demod 30 with 15 at 2,1,2
% 0.13/0.37 Id : 98, {_}: double_divide (double_divide identity (multiply identity ?157)) (inverse identity) =>= ?157 [157] by Super 95 with 5 at 1,2,1,2
% 0.13/0.37 Id : 103, {_}: double_divide (double_divide identity (inverse (inverse ?157))) (inverse identity) =>= ?157 [157] by Demod 98 with 17 at 2,1,2
% 0.13/0.37 Id : 330, {_}: double_divide (double_divide (inverse ?483) ?483) (inverse identity) =>= identity [483] by Super 204 with 103 at 2,1,2
% 0.13/0.37 Id : 333, {_}: double_divide (inverse (inverse identity)) (inverse identity) =>= identity [] by Super 330 with 4 at 1,2
% 0.13/0.37 Id : 346, {_}: inverse identity =>= identity [] by Demod 333 with 219 at 2
% 0.13/0.37 Id : 350, {_}: double_divide (inverse ?328) identity =>= ?328 [328] by Demod 219 with 346 at 2,2
% 0.13/0.37 Id : 393, {_}: inverse (inverse ?328) =>= ?328 [328] by Demod 350 with 4 at 2
% 0.13/0.37 Id : 395, {_}: multiply identity ?45 =>= ?45 [45] by Demod 17 with 393 at 3
% 0.13/0.37 Id : 417, {_}: a2 === a2 [] by Demod 1 with 395 at 2
% 0.13/0.37 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 25272: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.024418 using nrkbo
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