%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 : Thu Jul 14 23:44:14 EDT 2022
% Result : Unsatisfiable 1.27s 0.66s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 1 15:58:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 21840: Facts:
% 0.14/0.34 21840: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.14/0.34 21840: Id : 3, {_}:
% 0.14/0.34 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.14/0.34 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.14/0.34 21840: Id : 4, {_}:
% 0.14/0.34 add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
% 0.14/0.34 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.14/0.34 21840: Id : 5, {_}:
% 0.14/0.34 add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
% 0.14/0.34 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.14/0.34 21840: Id : 6, {_}:
% 0.14/0.34 multiply (add ?16 ?17) ?18
% 0.14/0.34 =<=
% 0.14/0.34 add (multiply ?16 ?18) (multiply ?17 ?18)
% 0.14/0.34 [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 0.14/0.34 21840: Id : 7, {_}:
% 0.14/0.34 multiply ?20 (add ?21 ?22)
% 0.14/0.34 =<=
% 0.14/0.34 add (multiply ?20 ?21) (multiply ?20 ?22)
% 0.14/0.34 [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.14/0.34 21840: Id : 8, {_}:
% 0.14/0.34 add ?24 (inverse ?24) =>= multiplicative_identity
% 0.14/0.34 [24] by additive_inverse1 ?24
% 0.14/0.34 21840: Id : 9, {_}:
% 0.14/0.34 add (inverse ?26) ?26 =>= multiplicative_identity
% 0.14/0.34 [26] by additive_inverse2 ?26
% 0.14/0.34 21840: Id : 10, {_}:
% 0.14/0.34 multiply ?28 (inverse ?28) =>= additive_identity
% 0.14/0.34 [28] by multiplicative_inverse1 ?28
% 0.14/0.34 21840: Id : 11, {_}:
% 0.14/0.34 multiply (inverse ?30) ?30 =>= additive_identity
% 0.14/0.34 [30] by multiplicative_inverse2 ?30
% 0.14/0.34 21840: Id : 12, {_}:
% 0.14/0.34 multiply ?32 multiplicative_identity =>= ?32
% 0.14/0.34 [32] by multiplicative_id1 ?32
% 0.14/0.34 21840: Id : 13, {_}:
% 0.14/0.34 multiply multiplicative_identity ?34 =>= ?34
% 0.14/0.34 [34] by multiplicative_id2 ?34
% 0.14/0.34 21840: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.14/0.34 21840: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.14/0.34 21840: Id : 16, {_}: multiply x y =>= z [] by x_times_y
% 0.14/0.34 21840: Goal:
% 0.14/0.34 21840: Id : 1, {_}: add x z =>= x [] by prove_sum
% 1.27/0.66 Statistics :
% 1.27/0.66 Max weight : 25
% 1.27/0.66 Found proof, 0.313811s
% 1.27/0.66 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/0.66 % SZS output start CNFRefutation for theBenchmark.p
% 1.27/0.66 Id : 16, {_}: multiply x y =>= z [] by x_times_y
% 1.27/0.66 Id : 12, {_}: multiply ?32 multiplicative_identity =>= ?32 [32] by multiplicative_id1 ?32
% 1.27/0.66 Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 1.27/0.66 Id : 10, {_}: multiply ?28 (inverse ?28) =>= additive_identity [28] by multiplicative_inverse1 ?28
% 1.27/0.66 Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 1.27/0.66 Id : 6, {_}: multiply (add ?16 ?17) ?18 =>= add (multiply ?16 ?18) (multiply ?17 ?18) [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 1.27/0.66 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 1.27/0.66 Id : 29, {_}: add (multiply ?79 ?80) ?81 =<= multiply (add ?79 ?81) (add ?80 ?81) [81, 80, 79] by distributivity1 ?79 ?80 ?81
% 1.27/0.66 Id : 7, {_}: multiply ?20 (add ?21 ?22) =>= add (multiply ?20 ?21) (multiply ?20 ?22) [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 1.27/0.66 Id : 32, {_}: add (multiply ?91 ?92) ?93 =<= multiply (add ?93 ?91) (add ?92 ?93) [93, 92, 91] by Super 29 with 2 at 1,3
% 1.27/0.66 Id : 825, {_}: add (multiply ?91 ?92) ?93 =<= add (multiply ?93 (add ?92 ?93)) (multiply ?91 (add ?92 ?93)) [93, 92, 91] by Demod 32 with 6 at 3
% 1.27/0.66 Id : 826, {_}: add (multiply ?91 ?92) ?93 =<= add (add (multiply ?93 ?92) (multiply ?93 ?93)) (multiply ?91 (add ?92 ?93)) [93, 92, 91] by Demod 825 with 7 at 1,3
% 1.27/0.66 Id : 827, {_}: add (multiply ?91 ?92) ?93 =<= add (add (multiply ?93 ?92) (multiply ?93 ?93)) (add (multiply ?91 ?92) (multiply ?91 ?93)) [93, 92, 91] by Demod 826 with 7 at 2,3
% 1.27/0.66 Id : 1298, {_}: multiply ?1275 ?1276 =<= add (multiply ?1275 ?1276) (multiply ?1275 additive_identity) [1276, 1275] by Super 7 with 14 at 2,2
% 1.27/0.66 Id : 1307, {_}: multiply ?1303 (inverse ?1303) =>= add additive_identity (multiply ?1303 additive_identity) [1303] by Super 1298 with 10 at 1,3
% 1.27/0.66 Id : 1351, {_}: additive_identity =<= add additive_identity (multiply ?1303 additive_identity) [1303] by Demod 1307 with 10 at 2
% 1.27/0.66 Id : 1352, {_}: additive_identity =<= multiply ?1303 additive_identity [1303] by Demod 1351 with 15 at 3
% 1.27/0.66 Id : 1405, {_}: add (multiply ?1376 additive_identity) ?1377 =?= add (add (multiply ?1377 additive_identity) (multiply ?1377 ?1377)) (add additive_identity (multiply ?1376 ?1377)) [1377, 1376] by Super 827 with 1352 at 1,2,3
% 1.27/0.66 Id : 1423, {_}: add additive_identity ?1377 =<= add (add (multiply ?1377 additive_identity) (multiply ?1377 ?1377)) (add additive_identity (multiply ?1376 ?1377)) [1376, 1377] by Demod 1405 with 1352 at 1,2
% 1.27/0.66 Id : 1424, {_}: add additive_identity ?1377 =<= add (add additive_identity (multiply ?1377 ?1377)) (add additive_identity (multiply ?1376 ?1377)) [1376, 1377] by Demod 1423 with 1352 at 1,1,3
% 1.27/0.66 Id : 1425, {_}: add additive_identity ?1377 =<= add (add additive_identity (multiply ?1377 ?1377)) (multiply ?1376 ?1377) [1376, 1377] by Demod 1424 with 15 at 2,3
% 1.27/0.66 Id : 1426, {_}: ?1377 =<= add (add additive_identity (multiply ?1377 ?1377)) (multiply ?1376 ?1377) [1376, 1377] by Demod 1425 with 15 at 2
% 1.27/0.66 Id : 1615, {_}: ?1431 =<= add (multiply ?1431 ?1431) (multiply ?1432 ?1431) [1432, 1431] by Demod 1426 with 15 at 1,3
% 1.27/0.66 Id : 1620, {_}: multiplicative_identity =<= add (multiply multiplicative_identity multiplicative_identity) ?1447 [1447] by Super 1615 with 12 at 2,3
% 1.27/0.66 Id : 1655, {_}: multiplicative_identity =<= add multiplicative_identity ?1447 [1447] by Demod 1620 with 12 at 1,3
% 1.27/0.66 Id : 1684, {_}: multiply ?1491 multiplicative_identity =<= add (multiply ?1491 multiplicative_identity) (multiply ?1491 ?1492) [1492, 1491] by Super 7 with 1655 at 2,2
% 1.27/0.66 Id : 1691, {_}: ?1491 =<= add (multiply ?1491 multiplicative_identity) (multiply ?1491 ?1492) [1492, 1491] by Demod 1684 with 12 at 2
% 1.27/0.66 Id : 1979, {_}: ?1880 =<= add ?1880 (multiply ?1880 ?1881) [1881, 1880] by Demod 1691 with 12 at 1,3
% 1.27/0.66 Id : 1986, {_}: x =<= add x z [] by Super 1979 with 16 at 2,3
% 1.27/0.66 Id : 2016, {_}: x === x [] by Demod 1 with 1986 at 2
% 1.27/0.66 Id : 1, {_}: add x z =>= x [] by prove_sum
% 1.27/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/0.66 21842: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.315925 using lpo
%------------------------------------------------------------------------------