TSTP Solution File: GRP490-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n014.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 10:30:30 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% 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
% 0.10/0.12 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 11:18:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 3468: Facts:
% 0.12/0.35 3468: Id : 2, {_}:
% 0.12/0.35 double_divide (double_divide identity ?2)
% 0.12/0.35 (double_divide identity
% 0.12/0.35 (double_divide (double_divide (double_divide ?2 ?3) identity)
% 0.12/0.35 (double_divide ?4 ?3)))
% 0.12/0.35 =>=
% 0.12/0.35 ?4
% 0.12/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.35 3468: Id : 3, {_}:
% 0.12/0.35 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.12/0.35 [7, 6] by multiply ?6 ?7
% 0.12/0.35 3468: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.35 3468: Id : 5, {_}:
% 0.12/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.12/0.35 [11] by identity ?11
% 0.12/0.35 3468: Goal:
% 0.12/0.35 3468: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.12/0.36 Statistics :
% 0.12/0.36 Max weight : 20
% 0.12/0.36 Found proof, 0.010395s
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.36 Id : 2, {_}: double_divide (double_divide identity ?2) (double_divide identity (double_divide (double_divide (double_divide ?2 ?3) identity) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.36 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.12/0.36 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.36 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.12/0.36 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.12/0.36 Id : 24, {_}: multiply (inverse ?64) ?64 =>= inverse identity [64] by Super 16 with 5 at 1,3
% 0.12/0.36 Id : 10, {_}: double_divide (double_divide identity ?2) (double_divide identity (double_divide (multiply ?3 ?2) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 1,2,2,2
% 0.12/0.36 Id : 22, {_}: double_divide (double_divide identity ?58) (double_divide identity (double_divide (multiply (inverse ?59) ?58) identity)) =>= ?59 [59, 58] by Super 10 with 5 at 2,2,2,2
% 0.12/0.36 Id : 94, {_}: double_divide (double_divide identity ?156) (double_divide identity (inverse (multiply (inverse ?157) ?156))) =>= ?157 [157, 156] by Demod 22 with 4 at 2,2,2
% 0.12/0.36 Id : 96, {_}: double_divide (double_divide identity ?163) (double_divide identity (inverse (inverse identity))) =>= ?163 [163] by Super 94 with 24 at 1,2,2,2
% 0.12/0.36 Id : 105, {_}: double_divide (double_divide identity ?180) (double_divide identity (inverse (inverse identity))) =>= ?180 [180] by Super 94 with 24 at 1,2,2,2
% 0.12/0.36 Id : 107, {_}: double_divide identity (double_divide identity (inverse (inverse identity))) =>= inverse identity [] by Super 105 with 5 at 1,2
% 0.12/0.36 Id : 116, {_}: double_divide (inverse identity) (double_divide identity (inverse (inverse identity))) =>= double_divide identity (inverse (inverse identity)) [] by Super 96 with 107 at 1,2
% 0.12/0.36 Id : 106, {_}: double_divide (inverse identity) (double_divide identity (inverse (inverse identity))) =>= identity [] by Super 105 with 4 at 1,2
% 0.12/0.36 Id : 139, {_}: identity =<= double_divide identity (inverse (inverse identity)) [] by Demod 116 with 106 at 2
% 0.12/0.36 Id : 140, {_}: double_divide (inverse identity) identity =>= identity [] by Demod 106 with 139 at 2,2
% 0.12/0.36 Id : 148, {_}: inverse (inverse identity) =>= identity [] by Demod 140 with 4 at 2
% 0.12/0.36 Id : 149, {_}: identity =<= double_divide identity identity [] by Demod 139 with 148 at 2,3
% 0.12/0.36 Id : 150, {_}: identity =<= inverse identity [] by Demod 149 with 4 at 3
% 0.12/0.36 Id : 153, {_}: multiply (inverse ?64) ?64 =>= identity [64] by Demod 24 with 150 at 3
% 0.12/0.36 Id : 166, {_}: identity === identity [] by Demod 1 with 153 at 2
% 0.12/0.36 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 3471: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.011781 using nrkbo
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