TSTP Solution File: GRP461-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP461-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n006.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 10:30:23 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP461-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 09:21:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 19547: Facts:
% 0.13/0.34 19547: Id : 2, {_}:
% 0.13/0.34 divide ?2
% 0.13/0.34 (divide (divide (divide identity ?3) ?4)
% 0.13/0.34 (divide (divide (divide ?2 ?2) ?2) ?4))
% 0.13/0.34 =>=
% 0.13/0.34 ?3
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 19547: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 19547: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.13/0.34 19547: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.13/0.34 19547: Goal:
% 0.13/0.34 19547: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 22
% 0.13/0.35 Found proof, 0.006229s
% 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 =<= divide ?11 ?11 [11] by identity ?11
% 0.13/0.35 Id : 2, {_}: divide ?2 (divide (divide (divide identity ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.13/0.35 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.13/0.35 Id : 24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.35 Id : 26, {_}: multiply identity ?67 =>= inverse (inverse ?67) [67] by Super 24 with 4 at 3
% 0.13/0.35 Id : 25, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,1,2,2
% 0.13/0.35 Id : 36, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide identity ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 25 with 5 at 1,1,2,2,2
% 0.13/0.35 Id : 37, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 36 with 4 at 1,2,2,2
% 0.13/0.35 Id : 39, {_}: divide ?87 (divide identity (divide (inverse ?87) (inverse ?88))) =>= ?88 [88, 87] by Super 37 with 5 at 1,2,2
% 0.13/0.35 Id : 48, {_}: divide ?87 (inverse (divide (inverse ?87) (inverse ?88))) =>= ?88 [88, 87] by Demod 39 with 4 at 2,2
% 0.13/0.35 Id : 49, {_}: multiply ?87 (divide (inverse ?87) (inverse ?88)) =>= ?88 [88, 87] by Demod 48 with 24 at 2
% 0.13/0.35 Id : 50, {_}: multiply ?87 (multiply (inverse ?87) ?88) =>= ?88 [88, 87] by Demod 49 with 24 at 2,2
% 0.13/0.35 Id : 106, {_}: multiply ?143 (multiply (inverse ?143) ?144) =>= ?144 [144, 143] by Demod 49 with 24 at 2,2
% 0.13/0.35 Id : 41, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.13/0.35 Id : 51, {_}: multiply ?101 identity =<= divide ?101 identity [101] by Super 24 with 41 at 2,3
% 0.13/0.35 Id : 40, {_}: divide ?90 identity =>= ?90 [90] by Super 37 with 5 at 2,2
% 0.13/0.35 Id : 80, {_}: multiply ?101 identity =>= ?101 [101] by Demod 51 with 40 at 3
% 0.13/0.35 Id : 110, {_}: multiply ?153 (inverse ?153) =>= identity [153] by Super 106 with 80 at 2,2
% 0.13/0.35 Id : 122, {_}: multiply ?160 identity =>= inverse (inverse ?160) [160] by Super 50 with 110 at 2,2
% 0.13/0.35 Id : 127, {_}: ?160 =<= inverse (inverse ?160) [160] by Demod 122 with 80 at 2
% 0.13/0.35 Id : 138, {_}: multiply identity ?67 =>= ?67 [67] by Demod 26 with 127 at 3
% 0.13/0.35 Id : 152, {_}: a2 === a2 [] by Demod 1 with 138 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 19550: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.007643 using nrkbo
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