TSTP Solution File: BOO013-2 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n028.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 23:44:13 EDT 2022
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.34 % Computer : n028.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 15:18:22 EDT 2022
% 0.21/0.34 % CPUTime :
% 0.21/0.35 2305: Facts:
% 0.21/0.35 2305: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.21/0.35 2305: Id : 3, {_}:
% 0.21/0.35 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.21/0.35 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.21/0.35 2305: Id : 4, {_}:
% 0.21/0.35 add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
% 0.21/0.35 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.21/0.35 2305: Id : 5, {_}:
% 0.21/0.35 add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
% 0.21/0.35 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.21/0.35 2305: Id : 6, {_}:
% 0.21/0.35 multiply (add ?16 ?17) ?18
% 0.21/0.35 =<=
% 0.21/0.35 add (multiply ?16 ?18) (multiply ?17 ?18)
% 0.21/0.35 [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 0.21/0.35 2305: Id : 7, {_}:
% 0.21/0.35 multiply ?20 (add ?21 ?22)
% 0.21/0.35 =<=
% 0.21/0.35 add (multiply ?20 ?21) (multiply ?20 ?22)
% 0.21/0.35 [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.21/0.35 2305: Id : 8, {_}:
% 0.21/0.35 add ?24 (inverse ?24) =>= multiplicative_identity
% 0.21/0.35 [24] by additive_inverse1 ?24
% 0.21/0.35 2305: Id : 9, {_}:
% 0.21/0.35 add (inverse ?26) ?26 =>= multiplicative_identity
% 0.21/0.35 [26] by additive_inverse2 ?26
% 0.21/0.35 2305: Id : 10, {_}:
% 0.21/0.35 multiply ?28 (inverse ?28) =>= additive_identity
% 0.21/0.35 [28] by multiplicative_inverse1 ?28
% 0.21/0.35 2305: Id : 11, {_}:
% 0.21/0.35 multiply (inverse ?30) ?30 =>= additive_identity
% 0.21/0.35 [30] by multiplicative_inverse2 ?30
% 0.21/0.35 2305: Id : 12, {_}:
% 0.21/0.35 multiply ?32 multiplicative_identity =>= ?32
% 0.21/0.35 [32] by multiplicative_id1 ?32
% 0.21/0.35 2305: Id : 13, {_}:
% 0.21/0.35 multiply multiplicative_identity ?34 =>= ?34
% 0.21/0.35 [34] by multiplicative_id2 ?34
% 0.21/0.35 2305: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.21/0.35 2305: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.21/0.35 2305: Id : 16, {_}:
% 0.21/0.35 add a b =>= multiplicative_identity
% 0.21/0.35 [] by b_and_multiplicative_identity
% 0.21/0.35 2305: Id : 17, {_}:
% 0.21/0.35 add a c =>= multiplicative_identity
% 0.21/0.35 [] by c_and_multiplicative_identity
% 0.21/0.35 2305: Id : 18, {_}: multiply a b =>= additive_identity [] by b_a_additive_identity
% 0.21/0.35 2305: Id : 19, {_}: multiply a c =>= additive_identity [] by c_a_additive_identity
% 0.21/0.35 2305: Goal:
% 0.21/0.35 2305: Id : 1, {_}: b =<= c [] by prove_b_is_a
% 0.21/0.40 Statistics :
% 0.21/0.40 Max weight : 11
% 0.21/0.40 Found proof, 0.050590s
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.40 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.40 Id : 19, {_}: multiply a c =>= additive_identity [] by c_a_additive_identity
% 0.21/0.40 Id : 16, {_}: add a b =>= multiplicative_identity [] by b_and_multiplicative_identity
% 0.21/0.40 Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.21/0.40 Id : 18, {_}: multiply a b =>= additive_identity [] by b_a_additive_identity
% 0.21/0.40 Id : 13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
% 0.21/0.40 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.21/0.40 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.21/0.40 Id : 17, {_}: add a c =>= multiplicative_identity [] by c_and_multiplicative_identity
% 0.21/0.40 Id : 5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.21/0.40 Id : 268, {_}: add c a =>= multiplicative_identity [] by Demod 17 with 2 at 2
% 0.21/0.40 Id : 269, {_}: add c (multiply ?537 a) =<= multiply (add c ?537) multiplicative_identity [537] by Super 5 with 268 at 2,3
% 0.21/0.40 Id : 283, {_}: add c (multiply ?537 a) =<= multiply multiplicative_identity (add c ?537) [537] by Demod 269 with 3 at 3
% 0.21/0.40 Id : 633, {_}: add c (multiply ?840 a) =>= add c ?840 [840] by Demod 283 with 13 at 3
% 0.21/0.40 Id : 286, {_}: multiply b a =>= additive_identity [] by Demod 18 with 3 at 2
% 0.21/0.40 Id : 637, {_}: add c additive_identity =>= add c b [] by Super 633 with 286 at 2,2
% 0.21/0.40 Id : 647, {_}: c =<= add c b [] by Demod 637 with 14 at 2
% 0.21/0.40 Id : 648, {_}: c =<= add b c [] by Demod 647 with 2 at 3
% 0.21/0.40 Id : 250, {_}: add b a =>= multiplicative_identity [] by Demod 16 with 2 at 2
% 0.21/0.40 Id : 251, {_}: add b (multiply ?526 a) =<= multiply (add b ?526) multiplicative_identity [526] by Super 5 with 250 at 2,3
% 0.21/0.40 Id : 265, {_}: add b (multiply ?526 a) =<= multiply multiplicative_identity (add b ?526) [526] by Demod 251 with 3 at 3
% 0.21/0.40 Id : 461, {_}: add b (multiply ?679 a) =>= add b ?679 [679] by Demod 265 with 13 at 3
% 0.21/0.40 Id : 304, {_}: multiply c a =>= additive_identity [] by Demod 19 with 3 at 2
% 0.21/0.40 Id : 466, {_}: add b additive_identity =>= add b c [] by Super 461 with 304 at 2,2
% 0.21/0.40 Id : 476, {_}: b =<= add b c [] by Demod 466 with 14 at 2
% 0.21/0.40 Id : 649, {_}: c =>= b [] by Demod 648 with 476 at 3
% 0.21/0.40 Id : 668, {_}: b === b [] by Demod 1 with 649 at 3
% 0.21/0.40 Id : 1, {_}: b =<= c [] by prove_b_is_a
% 0.21/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.40 2308: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.052752 using nrkbo
%------------------------------------------------------------------------------