%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP482-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n020.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 10:30:28 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP482-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 06:21:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 8171: Facts:
% 0.13/0.34 8171: Id : 2, {_}:
% 0.13/0.34 double_divide
% 0.13/0.34 (double_divide (double_divide ?2 (double_divide ?3 identity))
% 0.13/0.34 (double_divide
% 0.13/0.34 (double_divide ?4
% 0.13/0.34 (double_divide ?5 (double_divide ?5 identity)))
% 0.13/0.34 (double_divide ?2 identity))) ?3
% 0.13/0.34 =>=
% 0.13/0.34 ?4
% 0.13/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.13/0.34 8171: Id : 3, {_}:
% 0.13/0.34 multiply ?7 ?8 =<= double_divide (double_divide ?8 ?7) identity
% 0.13/0.34 [8, 7] by multiply ?7 ?8
% 0.13/0.34 8171: Id : 4, {_}: inverse ?10 =<= double_divide ?10 identity [10] by inverse ?10
% 0.13/0.34 8171: Id : 5, {_}:
% 0.13/0.34 identity =<= double_divide ?12 (inverse ?12)
% 0.13/0.34 [12] by identity ?12
% 0.13/0.34 8171: Goal:
% 0.13/0.34 8171: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 26
% 0.13/0.35 Found proof, 0.013880s
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 5, {_}: identity =<= double_divide ?12 (inverse ?12) [12] by identity ?12
% 0.13/0.35 Id : 2, {_}: double_divide (double_divide (double_divide ?2 (double_divide ?3 identity)) (double_divide (double_divide ?4 (double_divide ?5 (double_divide ?5 identity))) (double_divide ?2 identity))) ?3 =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.13/0.35 Id : 4, {_}: inverse ?10 =<= double_divide ?10 identity [10] by inverse ?10
% 0.13/0.35 Id : 3, {_}: multiply ?7 ?8 =<= double_divide (double_divide ?8 ?7) identity [8, 7] by multiply ?7 ?8
% 0.13/0.35 Id : 23, {_}: multiply ?7 ?8 =<= inverse (double_divide ?8 ?7) [8, 7] by Demod 3 with 4 at 3
% 0.13/0.35 Id : 27, {_}: multiply identity ?101 =>= inverse (inverse ?101) [101] by Super 23 with 4 at 1,3
% 0.13/0.35 Id : 24, {_}: double_divide (double_divide (double_divide ?2 (inverse ?3)) (double_divide (double_divide ?4 (double_divide ?5 (double_divide ?5 identity))) (double_divide ?2 identity))) ?3 =>= ?4 [5, 4, 3, 2] by Demod 2 with 4 at 2,1,1,2
% 0.13/0.35 Id : 25, {_}: double_divide (double_divide (double_divide ?2 (inverse ?3)) (double_divide (double_divide ?4 (double_divide ?5 (inverse ?5))) (double_divide ?2 identity))) ?3 =>= ?4 [5, 4, 3, 2] by Demod 24 with 4 at 2,2,1,2,1,2
% 0.13/0.35 Id : 26, {_}: double_divide (double_divide (double_divide ?2 (inverse ?3)) (double_divide (double_divide ?4 (double_divide ?5 (inverse ?5))) (inverse ?2))) ?3 =>= ?4 [5, 4, 3, 2] by Demod 25 with 4 at 2,2,1,2
% 0.13/0.35 Id : 34, {_}: double_divide (double_divide (double_divide ?2 (inverse ?3)) (double_divide (double_divide ?4 identity) (inverse ?2))) ?3 =>= ?4 [4, 3, 2] by Demod 26 with 5 at 2,1,2,1,2
% 0.13/0.35 Id : 35, {_}: double_divide (double_divide (double_divide ?2 (inverse ?3)) (double_divide (inverse ?4) (inverse ?2))) ?3 =>= ?4 [4, 3, 2] by Demod 34 with 4 at 1,2,1,2
% 0.13/0.35 Id : 36, {_}: double_divide (double_divide (double_divide (inverse ?115) (inverse ?116)) identity) ?116 =>= ?115 [116, 115] by Super 35 with 5 at 2,1,2
% 0.13/0.35 Id : 42, {_}: double_divide (inverse (double_divide (inverse ?115) (inverse ?116))) ?116 =>= ?115 [116, 115] by Demod 36 with 4 at 1,2
% 0.13/0.35 Id : 57, {_}: double_divide (multiply (inverse ?148) (inverse ?149)) ?148 =>= ?149 [149, 148] by Demod 42 with 23 at 1,2
% 0.13/0.35 Id : 38, {_}: multiply (inverse ?121) ?121 =>= inverse identity [121] by Super 23 with 5 at 1,3
% 0.13/0.35 Id : 60, {_}: double_divide (inverse identity) (inverse ?159) =>= ?159 [159] by Super 57 with 38 at 1,2
% 0.13/0.35 Id : 64, {_}: identity =<= inverse identity [] by Super 5 with 60 at 3
% 0.13/0.35 Id : 73, {_}: double_divide identity (inverse ?159) =>= ?159 [159] by Demod 60 with 64 at 1,2
% 0.13/0.35 Id : 43, {_}: double_divide (multiply (inverse ?116) (inverse ?115)) ?116 =>= ?115 [115, 116] by Demod 42 with 23 at 1,2
% 0.13/0.35 Id : 76, {_}: double_divide (multiply (inverse ?183) identity) ?183 =>= identity [183] by Super 43 with 64 at 2,1,2
% 0.13/0.35 Id : 67, {_}: multiply (inverse ?172) (inverse identity) =>= inverse ?172 [172] by Super 23 with 60 at 1,3
% 0.13/0.35 Id : 102, {_}: multiply (inverse ?172) identity =>= inverse ?172 [172] by Demod 67 with 64 at 2,2
% 0.13/0.35 Id : 77, {_}: double_divide (multiply identity (inverse ?185)) identity =>= ?185 [185] by Super 43 with 64 at 1,1,2
% 0.13/0.35 Id : 96, {_}: inverse (multiply identity (inverse ?185)) =>= ?185 [185] by Demod 77 with 4 at 2
% 0.13/0.35 Id : 97, {_}: inverse (inverse (inverse (inverse ?185))) =>= ?185 [185] by Demod 96 with 27 at 1,2
% 0.13/0.35 Id : 125, {_}: multiply ?234 identity =<= inverse (inverse (inverse (inverse ?234))) [234] by Super 102 with 97 at 1,2
% 0.13/0.35 Id : 133, {_}: multiply ?234 identity =>= ?234 [234] by Demod 125 with 97 at 3
% 0.13/0.35 Id : 257, {_}: double_divide (inverse ?183) ?183 =>= identity [183] by Demod 76 with 133 at 1,2
% 0.13/0.35 Id : 258, {_}: multiply ?349 (inverse ?349) =>= inverse identity [349] by Super 23 with 257 at 1,3
% 0.13/0.35 Id : 277, {_}: multiply ?349 (inverse ?349) =>= identity [349] by Demod 258 with 64 at 3
% 0.13/0.35 Id : 284, {_}: double_divide identity ?371 =>= inverse ?371 [371] by Super 43 with 277 at 1,2
% 0.13/0.35 Id : 307, {_}: inverse (inverse ?159) =>= ?159 [159] by Demod 73 with 284 at 2
% 0.13/0.35 Id : 309, {_}: multiply identity ?101 =>= ?101 [101] by Demod 27 with 307 at 3
% 0.13/0.35 Id : 329, {_}: a2 === a2 [] by Demod 1 with 309 at 2
% 0.13/0.35 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35 8174: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.016043 using nrkbo
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