TSTP Solution File: BOO003-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n018.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 23:44:09 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : BOO003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 1 21:35:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 24838: Facts:
% 0.11/0.33 24838: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.11/0.33 24838: Id : 3, {_}:
% 0.11/0.33 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.11/0.33 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.11/0.33 24838: Id : 4, {_}:
% 0.11/0.33 add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
% 0.11/0.33 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.11/0.33 24838: Id : 5, {_}:
% 0.11/0.33 add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
% 0.11/0.33 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.11/0.33 24838: Id : 6, {_}:
% 0.11/0.33 multiply (add ?16 ?17) ?18
% 0.11/0.33 =<=
% 0.11/0.33 add (multiply ?16 ?18) (multiply ?17 ?18)
% 0.11/0.33 [18, 17, 16] by distributivity3 ?16 ?17 ?18
% 0.11/0.33 24838: Id : 7, {_}:
% 0.11/0.33 multiply ?20 (add ?21 ?22)
% 0.11/0.33 =<=
% 0.11/0.33 add (multiply ?20 ?21) (multiply ?20 ?22)
% 0.11/0.33 [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.11/0.33 24838: Id : 8, {_}:
% 0.11/0.33 add ?24 (inverse ?24) =>= multiplicative_identity
% 0.11/0.33 [24] by additive_inverse1 ?24
% 0.11/0.33 24838: Id : 9, {_}:
% 0.11/0.33 add (inverse ?26) ?26 =>= multiplicative_identity
% 0.11/0.33 [26] by additive_inverse2 ?26
% 0.11/0.33 24838: Id : 10, {_}:
% 0.11/0.33 multiply ?28 (inverse ?28) =>= additive_identity
% 0.11/0.33 [28] by multiplicative_inverse1 ?28
% 0.11/0.33 24838: Id : 11, {_}:
% 0.11/0.33 multiply (inverse ?30) ?30 =>= additive_identity
% 0.11/0.33 [30] by multiplicative_inverse2 ?30
% 0.11/0.33 24838: Id : 12, {_}:
% 0.11/0.33 multiply ?32 multiplicative_identity =>= ?32
% 0.11/0.33 [32] by multiplicative_id1 ?32
% 0.11/0.33 24838: Id : 13, {_}:
% 0.11/0.33 multiply multiplicative_identity ?34 =>= ?34
% 0.11/0.33 [34] by multiplicative_id2 ?34
% 0.11/0.33 24838: Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.11/0.33 24838: Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.11/0.33 24838: Goal:
% 0.11/0.33 24838: Id : 1, {_}: multiply a a =>= a [] by prove_a_times_a_is_a
% 0.18/0.45 Statistics :
% 0.18/0.45 Max weight : 11
% 0.18/0.45 Found proof, 0.120789s
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.45 Id : 7, {_}: multiply ?20 (add ?21 ?22) =<= add (multiply ?20 ?21) (multiply ?20 ?22) [22, 21, 20] by distributivity4 ?20 ?21 ?22
% 0.18/0.45 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.18/0.45 Id : 9, {_}: add (inverse ?26) ?26 =>= multiplicative_identity [26] by additive_inverse2 ?26
% 0.18/0.45 Id : 14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
% 0.18/0.45 Id : 11, {_}: multiply (inverse ?30) ?30 =>= additive_identity [30] by multiplicative_inverse2 ?30
% 0.18/0.45 Id : 13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
% 0.18/0.45 Id : 8, {_}: add ?24 (inverse ?24) =>= multiplicative_identity [24] by additive_inverse1 ?24
% 0.18/0.45 Id : 5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.18/0.45 Id : 15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
% 0.18/0.45 Id : 4, {_}: add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.18/0.45 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.18/0.45 Id : 229, {_}: add (multiply additive_identity ?507) ?508 =<= multiply ?508 (add ?507 ?508) [508, 507] by Super 4 with 15 at 1,3
% 0.18/0.45 Id : 115, {_}: add ?335 (multiply (inverse ?335) ?336) =>= multiply multiplicative_identity (add ?335 ?336) [336, 335] by Super 5 with 8 at 1,3
% 0.18/0.45 Id : 1330, {_}: add ?1604 (multiply (inverse ?1604) ?1605) =>= add ?1604 ?1605 [1605, 1604] by Demod 115 with 13 at 3
% 0.18/0.45 Id : 1335, {_}: add ?1616 additive_identity =?= add ?1616 ?1616 [1616] by Super 1330 with 11 at 2,2
% 0.18/0.45 Id : 1370, {_}: ?1616 =<= add ?1616 ?1616 [1616] by Demod 1335 with 14 at 2
% 0.18/0.45 Id : 1512, {_}: add (multiply additive_identity ?1759) ?1759 =>= multiply ?1759 ?1759 [1759] by Super 229 with 1370 at 2,3
% 0.18/0.45 Id : 1751, {_}: add ?2008 (multiply additive_identity ?2008) =>= multiply ?2008 ?2008 [2008] by Super 2 with 1512 at 3
% 0.18/0.45 Id : 423, {_}: add ?696 (multiply additive_identity ?697) =<= multiply ?696 (add ?696 ?697) [697, 696] by Super 5 with 14 at 1,3
% 0.18/0.45 Id : 426, {_}: add (inverse ?704) (multiply additive_identity ?704) =>= multiply (inverse ?704) multiplicative_identity [704] by Super 423 with 9 at 2,3
% 0.18/0.45 Id : 451, {_}: add (inverse ?704) (multiply additive_identity ?704) =>= multiply multiplicative_identity (inverse ?704) [704] by Demod 426 with 3 at 3
% 0.18/0.45 Id : 452, {_}: add (inverse ?704) (multiply additive_identity ?704) =>= inverse ?704 [704] by Demod 451 with 13 at 3
% 0.18/0.45 Id : 812, {_}: add (multiply additive_identity (inverse ?1160)) (multiply additive_identity ?1160) =>= multiply (multiply additive_identity ?1160) (inverse ?1160) [1160] by Super 229 with 452 at 2,3
% 0.18/0.45 Id : 826, {_}: multiply additive_identity (add (inverse ?1160) ?1160) =<= multiply (multiply additive_identity ?1160) (inverse ?1160) [1160] by Demod 812 with 7 at 2
% 0.18/0.45 Id : 827, {_}: multiply additive_identity (add (inverse ?1160) ?1160) =<= multiply (inverse ?1160) (multiply additive_identity ?1160) [1160] by Demod 826 with 3 at 3
% 0.18/0.45 Id : 828, {_}: multiply additive_identity multiplicative_identity =<= multiply (inverse ?1160) (multiply additive_identity ?1160) [1160] by Demod 827 with 9 at 2,2
% 0.18/0.45 Id : 829, {_}: multiply multiplicative_identity additive_identity =<= multiply (inverse ?1160) (multiply additive_identity ?1160) [1160] by Demod 828 with 3 at 2
% 0.18/0.45 Id : 830, {_}: additive_identity =<= multiply (inverse ?1160) (multiply additive_identity ?1160) [1160] by Demod 829 with 13 at 2
% 0.18/0.45 Id : 1342, {_}: add ?1633 additive_identity =<= add ?1633 (multiply additive_identity ?1633) [1633] by Super 1330 with 830 at 2,2
% 0.18/0.45 Id : 1375, {_}: ?1633 =<= add ?1633 (multiply additive_identity ?1633) [1633] by Demod 1342 with 14 at 2
% 0.18/0.45 Id : 1780, {_}: ?2008 =<= multiply ?2008 ?2008 [2008] by Demod 1751 with 1375 at 2
% 0.18/0.45 Id : 1865, {_}: a === a [] by Demod 1 with 1780 at 2
% 0.18/0.45 Id : 1, {_}: multiply a a =>= a [] by prove_a_times_a_is_a
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.45 24841: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.122544 using nrkbo
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