TSTP Solution File: GRP550-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : 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 10:30:44 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% 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 : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n009.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 20:11:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 6007: Facts:
% 0.12/0.34 6007: Id : 2, {_}:
% 0.12/0.34 divide (divide identity ?2) (divide (divide (divide ?3 ?2) ?4) ?3)
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 6007: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 6007: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 6007: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 6007: Goal:
% 0.12/0.34 6007: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 0.12/0.35 Statistics :
% 0.12/0.35 Max weight : 16
% 0.12/0.35 Found proof, 0.008441s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.12/0.35 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.35 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.35 Id : 2, {_}: divide (divide identity ?2) (divide (divide (divide ?3 ?2) ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.35 Id : 20, {_}: divide (inverse ?2) (divide (divide (divide ?3 ?2) ?4) ?3) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.12/0.35 Id : 27, {_}: divide (inverse ?67) (divide identity ?68) =>= divide ?68 ?67 [68, 67] by Super 20 with 5 at 1,2,2
% 0.12/0.35 Id : 35, {_}: divide (inverse ?67) (inverse ?68) =>= divide ?68 ?67 [68, 67] by Demod 27 with 4 at 2,2
% 0.12/0.35 Id : 19, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.12/0.35 Id : 36, {_}: multiply (inverse ?67) ?68 =>= divide ?68 ?67 [68, 67] by Demod 35 with 19 at 2
% 0.12/0.35 Id : 21, {_}: multiply identity ?53 =>= inverse (inverse ?53) [53] by Super 19 with 4 at 3
% 0.12/0.35 Id : 26, {_}: divide (inverse ?64) (divide (divide identity ?65) ?64) =>= ?65 [65, 64] by Super 20 with 5 at 1,1,2,2
% 0.12/0.35 Id : 150, {_}: divide (inverse ?173) (divide (inverse ?174) ?173) =>= ?174 [174, 173] by Demod 26 with 4 at 1,2,2
% 0.12/0.35 Id : 83, {_}: multiply (inverse ?111) ?112 =>= divide ?112 ?111 [112, 111] by Demod 35 with 19 at 2
% 0.12/0.35 Id : 29, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.12/0.35 Id : 84, {_}: multiply identity ?114 =<= divide ?114 identity [114] by Super 83 with 29 at 1,2
% 0.12/0.35 Id : 86, {_}: inverse (inverse ?114) =<= divide ?114 identity [114] by Demod 84 with 21 at 2
% 0.12/0.35 Id : 37, {_}: multiply ?79 identity =<= divide ?79 identity [79] by Super 19 with 29 at 2,3
% 0.12/0.35 Id : 87, {_}: inverse (inverse ?114) =<= multiply ?114 identity [114] by Demod 86 with 37 at 3
% 0.12/0.35 Id : 92, {_}: inverse (inverse (inverse ?119)) =>= divide identity ?119 [119] by Super 36 with 87 at 2
% 0.12/0.35 Id : 98, {_}: inverse (inverse (inverse ?119)) =>= inverse ?119 [119] by Demod 92 with 4 at 3
% 0.12/0.35 Id : 152, {_}: divide (inverse ?178) (divide (inverse ?179) ?178) =>= inverse (inverse ?179) [179, 178] by Super 150 with 98 at 1,2,2
% 0.12/0.35 Id : 34, {_}: divide (inverse ?64) (divide (inverse ?65) ?64) =>= ?65 [65, 64] by Demod 26 with 4 at 1,2,2
% 0.12/0.35 Id : 164, {_}: ?179 =<= inverse (inverse ?179) [179] by Demod 152 with 34 at 2
% 0.12/0.35 Id : 181, {_}: multiply identity ?53 =>= ?53 [53] by Demod 21 with 164 at 3
% 0.12/0.35 Id : 203, {_}: a2 === a2 [] by Demod 202 with 181 at 2
% 0.12/0.35 Id : 202, {_}: multiply identity a2 =>= a2 [] by Demod 201 with 5 at 1,2
% 0.12/0.35 Id : 201, {_}: multiply (divide b2 b2) a2 =>= a2 [] by Demod 1 with 36 at 1,2
% 0.12/0.35 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 6010: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.009978 using nrkbo
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