TSTP Solution File: GRP573-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP573-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n018.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 10:30:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP573-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 23:16:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.33 25113: Facts:
% 0.19/0.34 25113: Id : 2, {_}:
% 0.19/0.34 double_divide
% 0.19/0.34 (double_divide ?2
% 0.19/0.34 (double_divide (double_divide ?3 (double_divide ?4 ?2))
% 0.19/0.34 (double_divide ?4 identity))) (double_divide identity identity)
% 0.19/0.34 =>=
% 0.19/0.34 ?3
% 0.19/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.34 25113: Id : 3, {_}:
% 0.19/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.19/0.34 [7, 6] by multiply ?6 ?7
% 0.19/0.34 25113: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.19/0.34 25113: Id : 5, {_}:
% 0.19/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.19/0.34 [11] by identity ?11
% 0.19/0.34 25113: Goal:
% 0.19/0.34 25113: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.19/0.35 Statistics :
% 0.19/0.35 Max weight : 20
% 0.19/0.35 Found proof, 0.010677s
% 0.19/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.35 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (double_divide ?4 identity))) (double_divide identity identity) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.35 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.19/0.35 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.19/0.35 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.19/0.35 Id : 17, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.19/0.35 Id : 25, {_}: multiply (inverse ?62) ?62 =>= inverse identity [62] by Super 17 with 5 at 1,3
% 0.19/0.35 Id : 18, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4))) (double_divide identity identity) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.19/0.35 Id : 19, {_}: double_divide (double_divide ?2 (double_divide (double_divide ?3 (double_divide ?4 ?2)) (inverse ?4))) (inverse identity) =>= ?3 [4, 3, 2] by Demod 18 with 4 at 2,2
% 0.19/0.35 Id : 24, {_}: double_divide (double_divide (inverse ?59) (double_divide (double_divide ?60 identity) (inverse ?59))) (inverse identity) =>= ?60 [60, 59] by Super 19 with 5 at 2,1,2,1,2
% 0.19/0.35 Id : 92, {_}: double_divide (double_divide (inverse ?144) (double_divide (inverse ?145) (inverse ?144))) (inverse identity) =>= ?145 [145, 144] by Demod 24 with 4 at 1,2,1,2
% 0.19/0.35 Id : 95, {_}: double_divide (double_divide (inverse (inverse ?155)) identity) (inverse identity) =>= ?155 [155] by Super 92 with 5 at 2,1,2
% 0.19/0.35 Id : 100, {_}: double_divide (inverse (inverse (inverse ?155))) (inverse identity) =>= ?155 [155] by Demod 95 with 4 at 1,2
% 0.19/0.35 Id : 29, {_}: double_divide (double_divide (inverse ?59) (double_divide (inverse ?60) (inverse ?59))) (inverse identity) =>= ?60 [60, 59] by Demod 24 with 4 at 1,2,1,2
% 0.19/0.35 Id : 130, {_}: double_divide (double_divide (inverse identity) ?208) (inverse identity) =>= inverse (inverse ?208) [208] by Super 29 with 100 at 2,1,2
% 0.19/0.35 Id : 132, {_}: double_divide identity (inverse identity) =<= inverse (inverse (inverse (inverse identity))) [] by Super 130 with 5 at 1,2
% 0.19/0.35 Id : 142, {_}: identity =<= inverse (inverse (inverse (inverse identity))) [] by Demod 132 with 5 at 2
% 0.19/0.35 Id : 157, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 100 with 142 at 1,2
% 0.19/0.35 Id : 160, {_}: identity =<= inverse identity [] by Demod 157 with 5 at 2
% 0.19/0.35 Id : 181, {_}: multiply (inverse ?62) ?62 =>= identity [62] by Demod 25 with 160 at 3
% 0.19/0.35 Id : 223, {_}: identity === identity [] by Demod 1 with 181 at 2
% 0.19/0.35 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.19/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.35 25116: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.012067 using nrkbo
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