TSTP Solution File: GRP487-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n022.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 10:30:29 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% 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
% 0.07/0.12 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n022.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 02:09:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 31982: Facts:
% 0.13/0.35 31982: Id : 2, {_}:
% 0.13/0.35 double_divide ?2
% 0.13/0.35 (double_divide
% 0.13/0.35 (double_divide
% 0.13/0.35 (double_divide identity
% 0.13/0.35 (double_divide (double_divide ?2 identity)
% 0.13/0.35 (double_divide ?3 ?4))) ?3) identity)
% 0.13/0.35 =>=
% 0.13/0.35 ?4
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 31982: 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 31982: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 31982: Id : 5, {_}:
% 0.13/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.35 [11] by identity ?11
% 0.13/0.35 31982: Goal:
% 0.13/0.35 31982: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.13/0.36 Statistics :
% 0.13/0.36 Max weight : 20
% 0.13/0.36 Found proof, 0.018878s
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.13/0.36 Id : 2, {_}: double_divide ?2 (double_divide (double_divide (double_divide identity (double_divide (double_divide ?2 identity) (double_divide ?3 ?4))) ?3) identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.36 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.36 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.13/0.36 Id : 17, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.13/0.36 Id : 10, {_}: double_divide ?2 (multiply ?3 (double_divide identity (double_divide (double_divide ?2 identity) (double_divide ?3 ?4)))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 0.13/0.36 Id : 18, {_}: double_divide ?2 (multiply ?3 (double_divide identity (double_divide (inverse ?2) (double_divide ?3 ?4)))) =>= ?4 [4, 3, 2] by Demod 10 with 4 at 1,2,2,2,2
% 0.13/0.36 Id : 23, {_}: double_divide ?59 (multiply ?60 (double_divide identity (double_divide (inverse ?59) identity))) =>= inverse ?60 [60, 59] by Super 18 with 5 at 2,2,2,2,2
% 0.13/0.37 Id : 90, {_}: double_divide ?147 (multiply ?148 (double_divide identity (inverse (inverse ?147)))) =>= inverse ?148 [148, 147] by Demod 23 with 4 at 2,2,2,2
% 0.13/0.37 Id : 19, {_}: multiply identity ?50 =>= inverse (inverse ?50) [50] by Super 17 with 4 at 1,3
% 0.13/0.37 Id : 92, {_}: double_divide ?154 (inverse (inverse (double_divide identity (inverse (inverse ?154))))) =>= inverse identity [154] by Super 90 with 19 at 2,2
% 0.13/0.37 Id : 96, {_}: double_divide ?154 (inverse (multiply (inverse (inverse ?154)) identity)) =>= inverse identity [154] by Demod 92 with 17 at 1,2,2
% 0.13/0.37 Id : 33, {_}: multiply (inverse ?77) ?77 =>= inverse identity [77] by Super 17 with 5 at 1,3
% 0.13/0.37 Id : 34, {_}: multiply (multiply ?79 ?80) (double_divide ?80 ?79) =>= inverse identity [80, 79] by Super 33 with 17 at 1,2
% 0.13/0.37 Id : 94, {_}: double_divide ?158 (inverse identity) =<= inverse (multiply (inverse (inverse ?158)) identity) [158] by Super 90 with 34 at 2,2
% 0.13/0.37 Id : 203, {_}: double_divide ?154 (double_divide ?154 (inverse identity)) =>= inverse identity [154] by Demod 96 with 94 at 2,2
% 0.13/0.37 Id : 205, {_}: multiply (double_divide ?300 (inverse identity)) ?300 =>= inverse (inverse identity) [300] by Super 17 with 203 at 1,3
% 0.13/0.37 Id : 207, {_}: double_divide ?305 (multiply (inverse ?305) (double_divide identity (inverse identity))) =>= inverse identity [305] by Super 18 with 203 at 2,2,2,2
% 0.13/0.37 Id : 240, {_}: double_divide ?342 (multiply (inverse ?342) identity) =>= inverse identity [342] by Demod 207 with 5 at 2,2,2
% 0.13/0.37 Id : 24, {_}: multiply (inverse ?62) ?62 =>= inverse identity [62] by Super 17 with 5 at 1,3
% 0.13/0.37 Id : 244, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 240 with 24 at 2,2
% 0.13/0.37 Id : 246, {_}: identity =<= inverse identity [] by Demod 244 with 5 at 2
% 0.13/0.37 Id : 263, {_}: multiply (double_divide ?300 identity) ?300 =>= inverse (inverse identity) [300] by Demod 205 with 246 at 2,1,2
% 0.13/0.37 Id : 264, {_}: multiply (double_divide ?300 identity) ?300 =>= inverse identity [300] by Demod 263 with 246 at 1,3
% 0.13/0.37 Id : 265, {_}: multiply (double_divide ?300 identity) ?300 =>= identity [300] by Demod 264 with 246 at 3
% 0.13/0.37 Id : 266, {_}: multiply (inverse ?300) ?300 =>= identity [300] by Demod 265 with 4 at 1,2
% 0.13/0.37 Id : 314, {_}: identity === identity [] by Demod 1 with 266 at 2
% 0.13/0.37 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 31985: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.020762 using nrkbo
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