TSTP Solution File: GRP011-4 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 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 10:28:24 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
% 0.11/0.11 % Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % 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 : Tue Jun 14 04:54:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 9423: Facts:
% 0.12/0.33 9423: Id : 2, {_}:
% 0.12/0.33 multiply (multiply ?2 ?3) ?4 =?= multiply ?2 (multiply ?3 ?4)
% 0.12/0.33 [4, 3, 2] by associativity ?2 ?3 ?4
% 0.12/0.33 9423: Id : 3, {_}: multiply identity ?6 =>= ?6 [6] by left_identity ?6
% 0.12/0.33 9423: Id : 4, {_}: multiply (inverse ?8) ?8 =>= identity [8] by left_inverse ?8
% 0.12/0.33 9423: Id : 5, {_}: multiply b c =<= multiply d c [] by product_equality
% 0.12/0.33 9423: Goal:
% 0.12/0.33 9423: Id : 1, {_}: b =<= d [] by prove_left_cancellation
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 9
% 0.12/0.34 Found proof, 0.010899s
% 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 : 3, {_}: multiply identity ?6 =>= ?6 [6] by left_identity ?6
% 0.12/0.34 Id : 4, {_}: multiply (inverse ?8) ?8 =>= identity [8] by left_inverse ?8
% 0.12/0.34 Id : 5, {_}: multiply b c =<= multiply d c [] by product_equality
% 0.12/0.34 Id : 2, {_}: multiply (multiply ?2 ?3) ?4 =>= multiply ?2 (multiply ?3 ?4) [4, 3, 2] by associativity ?2 ?3 ?4
% 0.12/0.34 Id : 20, {_}: multiply (multiply b c) ?37 =>= multiply d (multiply c ?37) [37] by Super 2 with 5 at 1,2
% 0.12/0.34 Id : 23, {_}: multiply b (multiply c ?37) =<= multiply d (multiply c ?37) [37] by Demod 20 with 2 at 2
% 0.12/0.34 Id : 16, {_}: multiply identity ?31 =<= multiply (inverse ?32) (multiply ?32 ?31) [32, 31] by Super 2 with 4 at 1,2
% 0.12/0.34 Id : 32, {_}: ?52 =<= multiply (inverse ?53) (multiply ?53 ?52) [53, 52] by Demod 16 with 3 at 2
% 0.12/0.34 Id : 19, {_}: ?31 =<= multiply (inverse ?32) (multiply ?32 ?31) [32, 31] by Demod 16 with 3 at 2
% 0.12/0.34 Id : 167, {_}: multiply ?266 ?267 =<= multiply (inverse (inverse ?266)) ?267 [267, 266] by Super 32 with 19 at 2,3
% 0.12/0.34 Id : 168, {_}: multiply ?269 (inverse ?269) =>= identity [269] by Super 167 with 4 at 3
% 0.12/0.34 Id : 207, {_}: multiply b (multiply c (inverse c)) =>= multiply d identity [] by Super 23 with 168 at 2,3
% 0.12/0.34 Id : 221, {_}: multiply b identity =<= multiply d identity [] by Demod 207 with 168 at 2,2
% 0.12/0.34 Id : 35, {_}: ?61 =<= multiply (inverse (inverse ?61)) identity [61] by Super 32 with 4 at 2,3
% 0.12/0.34 Id : 37, {_}: multiply ?64 ?65 =<= multiply (inverse (inverse ?64)) ?65 [65, 64] by Super 32 with 19 at 2,3
% 0.12/0.34 Id : 155, {_}: ?61 =<= multiply ?61 identity [61] by Demod 35 with 37 at 3
% 0.12/0.34 Id : 222, {_}: multiply b identity =>= d [] by Demod 221 with 155 at 3
% 0.12/0.34 Id : 223, {_}: b =<= d [] by Demod 222 with 155 at 2
% 0.12/0.34 Id : 236, {_}: b === b [] by Demod 1 with 223 at 3
% 0.12/0.34 Id : 1, {_}: b =<= d [] by prove_left_cancellation
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 9425: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.012132 using lpo
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 16
% 0.12/0.34 Found proof, 0.011889s
% 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 : 5, {_}: multiply b c =<= multiply d c [] by product_equality
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