TSTP Solution File: GRP542-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n008.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 10:30:42 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% 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
% 0.10/0.11 % Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n008.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 08:07:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 18571: Facts:
% 0.12/0.33 18571: Id : 2, {_}:
% 0.12/0.33 divide (divide identity (divide (divide (divide ?2 ?3) ?4) ?2)) ?4
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 18571: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.33 [7, 6] by multiply ?6 ?7
% 0.12/0.33 18571: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.33 18571: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.33 18571: Goal:
% 0.12/0.33 18571: Id : 1, {_}:
% 0.12/0.33 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.33 [] by prove_these_axioms_2
% 0.12/0.35 Statistics :
% 0.12/0.35 Max weight : 16
% 0.12/0.35 Found proof, 0.012275s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Id : 2, {_}: divide (divide identity (divide (divide (divide ?2 ?3) ?4) ?2)) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.35 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.35 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.35 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.12/0.35 Id : 21, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.12/0.35 Id : 30, {_}: multiply (inverse ?74) ?74 =>= identity [74] by Super 21 with 5 at 3
% 0.12/0.35 Id : 23, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 21 with 4 at 3
% 0.12/0.35 Id : 22, {_}: divide (inverse (divide (divide (divide ?2 ?3) ?4) ?2)) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.12/0.35 Id : 29, {_}: divide (inverse (divide identity ?71)) (divide ?71 ?72) =>= ?72 [72, 71] by Super 22 with 5 at 1,1,1,2
% 0.12/0.35 Id : 259, {_}: divide (inverse (inverse ?244)) (divide ?244 ?245) =>= ?245 [245, 244] by Demod 29 with 4 at 1,1,2
% 0.12/0.35 Id : 263, {_}: divide (inverse (inverse identity)) (inverse ?257) =>= ?257 [257] by Super 259 with 4 at 2,2
% 0.12/0.35 Id : 273, {_}: multiply (inverse (inverse identity)) ?257 =>= ?257 [257] by Demod 263 with 21 at 2
% 0.12/0.35 Id : 31, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.12/0.35 Id : 274, {_}: multiply (inverse identity) ?257 =>= ?257 [257] by Demod 273 with 31 at 1,1,2
% 0.12/0.35 Id : 275, {_}: multiply identity ?257 =>= ?257 [257] by Demod 274 with 31 at 1,2
% 0.12/0.35 Id : 276, {_}: inverse (inverse ?257) =>= ?257 [257] by Demod 275 with 23 at 2
% 0.12/0.35 Id : 287, {_}: multiply identity ?57 =>= ?57 [57] by Demod 23 with 276 at 3
% 0.12/0.35 Id : 308, {_}: a2 === a2 [] by Demod 307 with 287 at 2
% 0.12/0.35 Id : 307, {_}: multiply identity a2 =>= a2 [] by Demod 1 with 30 at 1,2
% 0.12/0.35 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 18574: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.013494 using nrkbo
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