TSTP Solution File: GRP496-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP496-1 : 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 10:30:32 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
% 0.03/0.12 % Problem : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n020.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 21:49:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 12614: Facts:
% 0.12/0.34 12614: Id : 2, {_}:
% 0.12/0.34 double_divide
% 0.12/0.34 (double_divide identity
% 0.12/0.34 (double_divide ?2 (double_divide ?3 identity)))
% 0.12/0.34 (double_divide (double_divide ?3 (double_divide ?4 ?2)) identity)
% 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 12614: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 12614: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.34 12614: Id : 5, {_}:
% 0.12/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.12/0.34 [11] by identity ?11
% 0.12/0.34 12614: Goal:
% 0.12/0.34 12614: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 20
% 0.12/0.34 Found proof, 0.002133s
% 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 : 27, {_}: identity =<= double_divide ?72 (inverse ?72) [72] by identity ?72
% 0.12/0.34 Id : 2, {_}: double_divide (double_divide identity (double_divide ?2 (double_divide ?3 identity))) (double_divide (double_divide ?3 (double_divide ?4 ?2)) identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.12/0.34 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.34 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.12/0.34 Id : 18, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.12/0.34 Id : 26, {_}: multiply (inverse ?70) ?70 =>= inverse identity [70] by Super 18 with 5 at 1,3
% 0.12/0.34 Id : 11, {_}: double_divide (double_divide identity (double_divide ?2 (double_divide ?3 identity))) (multiply (double_divide ?4 ?2) ?3) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 0.12/0.34 Id : 19, {_}: double_divide (double_divide identity (double_divide ?2 (inverse ?3))) (multiply (double_divide ?4 ?2) ?3) =>= ?4 [4, 3, 2] by Demod 11 with 4 at 2,2,1,2
% 0.12/0.34 Id : 28, {_}: identity =<= double_divide (double_divide ?74 ?75) (multiply ?75 ?74) [75, 74] by Super 27 with 18 at 2,3
% 0.12/0.34 Id : 42, {_}: identity =<= inverse identity [] by Super 19 with 28 at 2
% 0.12/0.34 Id : 62, {_}: multiply (inverse ?70) ?70 =>= identity [70] by Demod 26 with 42 at 3
% 0.12/0.34 Id : 74, {_}: identity === identity [] by Demod 1 with 62 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 12617: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.002722 using nrkbo
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