TSTP Solution File: GRP552-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP552-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n023.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 10:30:45 EDT 2022
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP552-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 15:56:51 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 20375: Facts:
% 0.15/0.36 20375: Id : 2, {_}:
% 0.15/0.36 divide (divide identity ?2) (divide (divide (divide ?3 ?2) ?4) ?3)
% 0.15/0.36 =>=
% 0.15/0.36 ?4
% 0.15/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.15/0.36 20375: Id : 3, {_}:
% 0.15/0.36 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.15/0.36 [7, 6] by multiply ?6 ?7
% 0.15/0.36 20375: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.15/0.36 20375: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.15/0.36 20375: Goal:
% 0.15/0.36 20375: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.15/0.41 Statistics :
% 0.15/0.41 Max weight : 16
% 0.15/0.41 Found proof, 0.043282s
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark.p
% 0.15/0.41 Id : 6, {_}: divide (divide identity ?13) (divide (divide (divide ?14 ?13) ?15) ?14) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.15/0.41 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.15/0.41 Id : 2, {_}: divide (divide identity ?2) (divide (divide (divide ?3 ?2) ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.15/0.41 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.15/0.41 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.15/0.41 Id : 19, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.15/0.41 Id : 20, {_}: divide (inverse ?2) (divide (divide (divide ?3 ?2) ?4) ?3) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.15/0.41 Id : 27, {_}: divide (inverse ?67) (divide identity ?68) =?= divide ?68 ?67 [68, 67] by Super 20 with 5 at 1,2,2
% 0.15/0.41 Id : 35, {_}: divide (inverse ?67) (inverse ?68) =?= divide ?68 ?67 [68, 67] by Demod 27 with 4 at 2,2
% 0.15/0.41 Id : 36, {_}: multiply (inverse ?67) ?68 =<= divide ?68 ?67 [68, 67] by Demod 35 with 19 at 2
% 0.15/0.41 Id : 147, {_}: multiply ?6 ?7 =?= multiply (inverse (inverse ?7)) ?6 [7, 6] by Demod 19 with 36 at 3
% 0.15/0.41 Id : 29, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.15/0.41 Id : 37, {_}: multiply ?79 identity =<= divide ?79 identity [79] by Super 19 with 29 at 2,3
% 0.15/0.41 Id : 8, {_}: divide (divide identity ?22) (divide ?23 identity) =<= divide (divide (divide ?24 ?22) ?23) ?24 [24, 23, 22] by Super 6 with 2 at 1,2,2
% 0.15/0.41 Id : 104, {_}: divide (inverse ?22) (divide ?23 identity) =<= divide (divide (divide ?24 ?22) ?23) ?24 [24, 23, 22] by Demod 8 with 4 at 1,2
% 0.15/0.41 Id : 105, {_}: divide (inverse ?22) (multiply ?23 identity) =<= divide (divide (divide ?24 ?22) ?23) ?24 [24, 23, 22] by Demod 104 with 37 at 2,2
% 0.15/0.41 Id : 109, {_}: multiply (divide (divide identity ?207) ?208) identity =>= divide (inverse ?207) (multiply ?208 identity) [208, 207] by Super 37 with 105 at 3
% 0.15/0.41 Id : 126, {_}: multiply (divide (inverse ?207) ?208) identity =<= divide (inverse ?207) (multiply ?208 identity) [208, 207] by Demod 109 with 4 at 1,1,2
% 0.15/0.41 Id : 168, {_}: multiply (inverse (inverse identity)) (divide (inverse ?207) ?208) =<= divide (inverse ?207) (multiply ?208 identity) [208, 207] by Demod 126 with 147 at 2
% 0.15/0.41 Id : 169, {_}: multiply (inverse (inverse identity)) (divide (inverse ?207) ?208) =>= multiply (inverse (multiply ?208 identity)) (inverse ?207) [208, 207] by Demod 168 with 36 at 3
% 0.15/0.41 Id : 170, {_}: multiply (inverse identity) (divide (inverse ?207) ?208) =>= multiply (inverse (multiply ?208 identity)) (inverse ?207) [208, 207] by Demod 169 with 29 at 1,1,2
% 0.15/0.41 Id : 171, {_}: multiply (inverse identity) (multiply (inverse ?208) (inverse ?207)) =<= multiply (inverse (multiply ?208 identity)) (inverse ?207) [207, 208] by Demod 170 with 36 at 2,2
% 0.15/0.41 Id : 145, {_}: multiply ?79 identity =?= multiply (inverse identity) ?79 [79] by Demod 37 with 36 at 3
% 0.15/0.41 Id : 152, {_}: multiply ?79 identity =?= multiply identity ?79 [79] by Demod 145 with 29 at 1,3
% 0.15/0.41 Id : 21, {_}: multiply identity ?53 =>= inverse (inverse ?53) [53] by Super 19 with 4 at 3
% 0.15/0.41 Id : 153, {_}: multiply ?79 identity =>= inverse (inverse ?79) [79] by Demod 152 with 21 at 3
% 0.15/0.41 Id : 172, {_}: multiply (inverse identity) (multiply (inverse ?208) (inverse ?207)) =<= multiply (inverse (inverse (inverse ?208))) (inverse ?207) [207, 208] by Demod 171 with 153 at 1,1,3
% 0.15/0.41 Id : 173, {_}: multiply identity (multiply (inverse ?208) (inverse ?207)) =<= multiply (inverse (inverse (inverse ?208))) (inverse ?207) [207, 208] by Demod 172 with 29 at 1,2
% 0.15/0.41 Id : 146, {_}: inverse ?9 =<= multiply (inverse ?9) identity [9] by Demod 4 with 36 at 3
% 0.15/0.41 Id : 154, {_}: inverse ?9 =<= inverse (inverse (inverse ?9)) [9] by Demod 146 with 153 at 3
% 0.15/0.41 Id : 174, {_}: multiply identity (multiply (inverse ?208) (inverse ?207)) =>= multiply (inverse ?208) (inverse ?207) [207, 208] by Demod 173 with 154 at 1,3
% 0.15/0.41 Id : 192, {_}: inverse (inverse (multiply (inverse ?342) (inverse ?343))) =>= multiply (inverse ?342) (inverse ?343) [343, 342] by Demod 174 with 21 at 2
% 0.15/0.41 Id : 107, {_}: divide (inverse ?2) (divide (inverse ?2) (multiply ?4 identity)) =>= ?4 [4, 2] by Demod 20 with 105 at 2,2
% 0.15/0.41 Id : 149, {_}: multiply (inverse (divide (inverse ?2) (multiply ?4 identity))) (inverse ?2) =>= ?4 [4, 2] by Demod 107 with 36 at 2
% 0.15/0.41 Id : 150, {_}: multiply (inverse (multiply (inverse (multiply ?4 identity)) (inverse ?2))) (inverse ?2) =>= ?4 [2, 4] by Demod 149 with 36 at 1,1,2
% 0.15/0.41 Id : 151, {_}: multiply (inverse (inverse (inverse ?2))) (inverse (multiply (inverse (multiply ?4 identity)) (inverse ?2))) =>= ?4 [4, 2] by Demod 150 with 147 at 2
% 0.15/0.41 Id : 155, {_}: multiply (inverse (inverse (inverse ?2))) (inverse (multiply (inverse (inverse (inverse ?4))) (inverse ?2))) =>= ?4 [4, 2] by Demod 151 with 153 at 1,1,1,2,2
% 0.15/0.41 Id : 156, {_}: multiply (inverse ?2) (inverse (multiply (inverse (inverse (inverse ?4))) (inverse ?2))) =>= ?4 [4, 2] by Demod 155 with 154 at 1,2
% 0.15/0.41 Id : 157, {_}: multiply (inverse ?2) (inverse (multiply (inverse ?4) (inverse ?2))) =>= ?4 [4, 2] by Demod 156 with 154 at 1,1,2,2
% 0.15/0.41 Id : 200, {_}: inverse (inverse ?366) =<= multiply (inverse ?367) (inverse (multiply (inverse ?366) (inverse ?367))) [367, 366] by Super 192 with 157 at 1,1,2
% 0.15/0.41 Id : 229, {_}: inverse (inverse ?366) =>= ?366 [366] by Demod 200 with 157 at 3
% 0.15/0.41 Id : 236, {_}: multiply ?6 ?7 =?= multiply ?7 ?6 [7, 6] by Demod 147 with 229 at 1,3
% 0.15/0.41 Id : 262, {_}: multiply a b === multiply a b [] by Demod 1 with 236 at 3
% 0.15/0.41 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 20377: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.046225 using lpo
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