%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP484-1 : 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 10:30:28 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP484-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 11:34:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 14540: Facts:
% 0.13/0.35 14540: Id : 2, {_}:
% 0.13/0.35 double_divide
% 0.13/0.35 (double_divide ?2
% 0.13/0.35 (double_divide (double_divide (double_divide ?2 ?3) ?4)
% 0.13/0.35 (double_divide ?3 identity))) (double_divide identity 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 14540: 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 14540: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 14540: Id : 5, {_}:
% 0.13/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.35 [11] by identity ?11
% 0.13/0.35 14540: Goal:
% 0.13/0.35 14540: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.13/0.37 Statistics :
% 0.13/0.37 Max weight : 20
% 0.13/0.37 Found proof, 0.018866s
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.37 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (double_divide ?3 identity))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.37 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.13/0.37 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.37 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.13/0.37 Id : 18, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.13/0.37 Id : 29, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 18 with 5 at 1,3
% 0.13/0.37 Id : 21, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 18 with 4 at 1,3
% 0.13/0.37 Id : 19, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) (double_divide identity identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.13/0.37 Id : 20, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?2 ?3) ?4) (inverse ?3))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 19 with 4 at 2,2
% 0.13/0.37 Id : 28, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= inverse (double_divide ?72 ?73) [73, 72] by Super 20 with 5 at 1,2,1,2
% 0.13/0.37 Id : 33, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= multiply ?73 ?72 [73, 72] by Demod 28 with 18 at 3
% 0.13/0.37 Id : 65, {_}: double_divide (double_divide ?129 (multiply ?130 (double_divide ?129 identity))) (inverse identity) =>= double_divide identity (inverse ?130) [130, 129] by Super 20 with 33 at 2,1,2
% 0.13/0.37 Id : 73, {_}: double_divide (double_divide ?129 (multiply ?130 (inverse ?129))) (inverse identity) =>= double_divide identity (inverse ?130) [130, 129] by Demod 65 with 4 at 2,2,1,2
% 0.13/0.37 Id : 203, {_}: double_divide (double_divide ?300 (double_divide identity (inverse ?301))) (inverse identity) =>= multiply ?301 (inverse (double_divide ?300 identity)) [301, 300] by Super 20 with 73 at 2,1,2
% 0.13/0.37 Id : 210, {_}: multiply ?301 ?300 =<= multiply ?301 (inverse (double_divide ?300 identity)) [300, 301] by Demod 203 with 33 at 2
% 0.13/0.37 Id : 211, {_}: multiply ?301 ?300 =<= multiply ?301 (multiply identity ?300) [300, 301] by Demod 210 with 18 at 2,3
% 0.13/0.37 Id : 212, {_}: multiply ?301 ?300 =<= multiply ?301 (inverse (inverse ?300)) [300, 301] by Demod 211 with 21 at 2,3
% 0.13/0.37 Id : 219, {_}: multiply identity ?325 =<= inverse (inverse (inverse (inverse ?325))) [325] by Super 21 with 212 at 2
% 0.13/0.37 Id : 232, {_}: inverse (inverse ?325) =<= inverse (inverse (inverse (inverse ?325))) [325] by Demod 219 with 21 at 2
% 0.13/0.37 Id : 68, {_}: double_divide (double_divide ?138 (double_divide identity (inverse ?139))) (inverse identity) =>= multiply ?139 ?138 [139, 138] by Demod 28 with 18 at 3
% 0.13/0.37 Id : 70, {_}: double_divide (double_divide ?145 identity) (inverse identity) =>= multiply identity ?145 [145] by Super 68 with 5 at 2,1,2
% 0.13/0.37 Id : 74, {_}: double_divide (inverse ?145) (inverse identity) =>= multiply identity ?145 [145] by Demod 70 with 4 at 1,2
% 0.13/0.37 Id : 75, {_}: double_divide (inverse ?145) (inverse identity) =>= inverse (inverse ?145) [145] by Demod 74 with 21 at 3
% 0.13/0.37 Id : 78, {_}: multiply (inverse identity) (inverse ?152) =>= inverse (inverse (inverse ?152)) [152] by Super 18 with 75 at 1,3
% 0.13/0.37 Id : 217, {_}: multiply (inverse identity) ?321 =<= inverse (inverse (inverse (inverse ?321))) [321] by Super 78 with 212 at 2
% 0.13/0.37 Id : 271, {_}: inverse (inverse ?325) =<= multiply (inverse identity) ?325 [325] by Demod 232 with 217 at 3
% 0.13/0.37 Id : 281, {_}: inverse (inverse identity) =>= inverse identity [] by Super 29 with 271 at 2
% 0.13/0.37 Id : 299, {_}: identity =<= double_divide (inverse identity) (inverse identity) [] by Super 5 with 281 at 2,3
% 0.13/0.37 Id : 318, {_}: identity =<= inverse (inverse identity) [] by Demod 299 with 75 at 3
% 0.13/0.37 Id : 319, {_}: identity =<= inverse identity [] by Demod 318 with 281 at 3
% 0.13/0.37 Id : 335, {_}: multiply (inverse ?75) ?75 =>= identity [75] by Demod 29 with 319 at 3
% 0.13/0.37 Id : 380, {_}: identity === identity [] by Demod 1 with 335 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 14543: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.021035 using nrkbo
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