%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP464-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n008.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 10:30:24 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP464-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n008.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 : Tue Jun 14 07:14:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 28471: Facts:
% 0.12/0.33 28471: Id : 2, {_}:
% 0.12/0.33 divide ?2
% 0.12/0.33 (divide (divide (divide (divide ?2 ?2) ?3) ?4)
% 0.12/0.33 (divide (divide identity ?2) ?4))
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 28471: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.33 [7, 6] by multiply ?6 ?7
% 0.12/0.33 28471: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.33 28471: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.33 28471: Goal:
% 0.12/0.33 28471: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 22
% 0.12/0.34 Found proof, 0.006460s
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 Id : 2, {_}: divide ?2 (divide (divide (divide (divide ?2 ?2) ?3) ?4) (divide (divide identity ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.12/0.34 Id : 25, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.12/0.34 Id : 27, {_}: multiply identity ?72 =>= inverse (inverse ?72) [72] by Super 25 with 4 at 3
% 0.12/0.34 Id : 26, {_}: divide ?2 (divide (divide (divide (divide ?2 ?2) ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2,2,2
% 0.12/0.34 Id : 37, {_}: divide ?2 (divide (divide (divide identity ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 26 with 5 at 1,1,1,2,2
% 0.12/0.34 Id : 38, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 37 with 4 at 1,1,2,2
% 0.12/0.34 Id : 40, {_}: divide ?92 (divide identity (divide (inverse ?92) (inverse ?93))) =>= ?93 [93, 92] by Super 38 with 5 at 1,2,2
% 0.12/0.34 Id : 49, {_}: divide ?92 (inverse (divide (inverse ?92) (inverse ?93))) =>= ?93 [93, 92] by Demod 40 with 4 at 2,2
% 0.12/0.34 Id : 50, {_}: multiply ?92 (divide (inverse ?92) (inverse ?93)) =>= ?93 [93, 92] by Demod 49 with 25 at 2
% 0.12/0.34 Id : 51, {_}: multiply ?92 (multiply (inverse ?92) ?93) =>= ?93 [93, 92] by Demod 50 with 25 at 2,2
% 0.12/0.34 Id : 107, {_}: multiply ?148 (multiply (inverse ?148) ?149) =>= ?149 [149, 148] by Demod 50 with 25 at 2,2
% 0.12/0.34 Id : 42, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.12/0.34 Id : 52, {_}: multiply ?106 identity =<= divide ?106 identity [106] by Super 25 with 42 at 2,3
% 0.12/0.34 Id : 41, {_}: divide ?95 identity =>= ?95 [95] by Super 38 with 5 at 2,2
% 0.12/0.34 Id : 81, {_}: multiply ?106 identity =>= ?106 [106] by Demod 52 with 41 at 3
% 0.12/0.34 Id : 111, {_}: multiply ?158 (inverse ?158) =>= identity [158] by Super 107 with 81 at 2,2
% 0.12/0.34 Id : 123, {_}: multiply ?165 identity =>= inverse (inverse ?165) [165] by Super 51 with 111 at 2,2
% 0.12/0.34 Id : 128, {_}: ?165 =<= inverse (inverse ?165) [165] by Demod 123 with 81 at 2
% 0.12/0.34 Id : 139, {_}: multiply identity ?72 =>= ?72 [72] by Demod 27 with 128 at 3
% 0.12/0.34 Id : 153, {_}: a2 === a2 [] by Demod 1 with 139 at 2
% 0.12/0.34 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 28474: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.007969 using nrkbo
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