TSTP Solution File: GRP481-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n007.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 0.12s 0.34s
% 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
% 0.00/0.12 % Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n007.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 : Mon Jun 13 09:29:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 10215: Facts:
% 0.12/0.34 10215: Id : 2, {_}:
% 0.12/0.34 double_divide
% 0.12/0.34 (double_divide (double_divide ?2 (double_divide ?3 identity))
% 0.12/0.34 (double_divide
% 0.12/0.34 (double_divide ?4
% 0.12/0.34 (double_divide ?5 (double_divide ?5 identity)))
% 0.12/0.34 (double_divide ?2 identity))) ?3
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.34 10215: Id : 3, {_}:
% 0.12/0.34 multiply ?7 ?8 =<= double_divide (double_divide ?8 ?7) identity
% 0.12/0.34 [8, 7] by multiply ?7 ?8
% 0.12/0.34 10215: Id : 4, {_}: inverse ?10 =<= double_divide ?10 identity [10] by inverse ?10
% 0.12/0.34 10215: Id : 5, {_}:
% 0.12/0.34 identity =<= double_divide ?12 (inverse ?12)
% 0.12/0.34 [12] by identity ?12
% 0.12/0.34 10215: Goal:
% 0.12/0.34 10215: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 26
% 0.12/0.34 Found proof, 0.005400s
% 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 : 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
% 0.12/0.34 Id : 5, {_}: identity =<= double_divide ?12 (inverse ?12) [12] by identity ?12
% 0.12/0.34 Id : 4, {_}: inverse ?10 =<= double_divide ?10 identity [10] by inverse ?10
% 0.12/0.34 Id : 3, {_}: multiply ?7 ?8 =<= double_divide (double_divide ?8 ?7) identity [8, 7] by multiply ?7 ?8
% 0.12/0.34 Id : 23, {_}: multiply ?7 ?8 =<= inverse (double_divide ?8 ?7) [8, 7] by Demod 3 with 4 at 3
% 0.12/0.34 Id : 38, {_}: multiply (inverse ?121) ?121 =>= inverse identity [121] by Super 23 with 5 at 1,3
% 0.12/0.34 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
% 0.12/0.34 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
% 0.12/0.34 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
% 0.12/0.34 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
% 0.12/0.34 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
% 0.12/0.34 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
% 0.12/0.34 Id : 42, {_}: double_divide (inverse (double_divide (inverse ?115) (inverse ?116))) ?116 =>= ?115 [116, 115] by Demod 36 with 4 at 1,2
% 0.12/0.34 Id : 56, {_}: double_divide (multiply (inverse ?148) (inverse ?149)) ?148 =>= ?149 [149, 148] by Demod 42 with 23 at 1,2
% 0.12/0.34 Id : 59, {_}: double_divide (inverse identity) (inverse ?159) =>= ?159 [159] by Super 56 with 38 at 1,2
% 0.12/0.34 Id : 63, {_}: identity =<= inverse identity [] by Super 5 with 59 at 3
% 0.12/0.34 Id : 73, {_}: multiply (inverse ?121) ?121 =>= identity [121] by Demod 38 with 63 at 3
% 0.12/0.34 Id : 99, {_}: identity === identity [] by Demod 1 with 73 at 2
% 0.12/0.34 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 10218: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.006892 using nrkbo
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